87792908 has 48 divisors (see below), whose sum is σ = 182280000. Its totient is φ = 36973440.

The previous prime is 87792907. The next prime is 87792911. The reversal of 87792908 is 80929778.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87792907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83168 + ... + 84216.

It is an arithmetic number, because the mean of its divisors is an integer number (3797500).

Almost surely, 2^87792908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87792908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140000).

87792908 is an abundant number, since it is smaller than the sum of its proper divisors (94487092).

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

87792908 is a wasteful number, since it uses less digits than its factorization.

87792908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

The square root of 87792908 is about 9369.7869773010. The cubic root of 87792908 is about 444.4468285335.

The spelling of 87792908 in words is "eighty-seven million, seven hundred ninety-two thousand, nine hundred eight".