87750000 has 280 divisors, whose sum is σ = 339058160. Its totient is φ = 21600000.

The previous prime is 87749993. The next prime is 87750001. The reversal of 87750000 is 5778.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87750001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6749994 + ... + 6750006.

It is an arithmetic number, because the mean of its divisors is an integer number (1210922).

Almost surely, 2^87750000 is an apocalyptic number.

87750000 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 87750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169529080).

87750000 is an abundant number, since it is smaller than the sum of its proper divisors (251308160).

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

87750000 is an equidigital number, since it uses as much as digits as its factorization.

87750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 87750000 is about 9367.4969975976. The cubic root of 87750000 is about 444.3744102611.

Adding to 87750000 its reverse (5778), we get a palindrome (87755778).

The spelling of 87750000 in words is "eighty-seven million, seven hundred fifty thousand".