87780000 has 480 divisors, whose sum is σ = 377879040. Its totient is φ = 17280000.

The previous prime is 87779977. The next prime is 87780001. The reversal of 87780000 is 8778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 87780000.

It is not an unprimeable number, because it can be changed into a prime (87780001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619991 + ... + 4620009.

It is an arithmetic number, because the mean of its divisors is an integer number (787248).

Almost surely, 2^87780000 is an apocalyptic number.

87780000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

87780000 is an abundant number, since it is smaller than the sum of its proper divisors (290099040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87780000 is a wasteful number, since it uses less digits than its factorization.

87780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 87780000 is about 9369.0981422974. The cubic root of 87780000 is about 444.4250454496.

Adding to 87780000 its reverse (8778), we get a palindrome (87788778).

Multiplying 87780000 by its reverse (8778), we get a square (770532840000 = 877800²).

87780000 divided by its reverse (8778) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 87 and 780000, that added together give a palindrome (780087).

The spelling of 87780000 in words is "eighty-seven million, seven hundred eighty thousand".