87786000 has 120 divisors (see below), whose sum is σ = 306670104. Its totient is φ = 23404800.

The previous prime is 87785993. The next prime is 87786001. The reversal of 87786000 is 68778.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 78641424 = 3024^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87786001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15562 + ... + 20438.

Almost surely, 2^87786000 is an apocalyptic number.

87786000 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 87786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153335052).

87786000 is an abundant number, since it is smaller than the sum of its proper divisors (218884104).

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

87786000 is a wasteful number, since it uses less digits than its factorization.

87786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87786000 is about 9369.4183384029. The cubic root of 87786000 is about 444.4351711028.

The spelling of 87786000 in words is "eighty-seven million, seven hundred eighty-six thousand".