87775600 has 60 divisors (see below), whose sum is σ = 230063400. Its totient is φ = 31916800.

The previous prime is 87775559. The next prime is 87775603. The reversal of 87775600 is 657778.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87775603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5575 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (3834390).

Almost surely, 2^87775600 is an apocalyptic number.

87775600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87775600 is an abundant number, since it is smaller than the sum of its proper divisors (142287800).

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

87775600 is a wasteful number, since it uses less digits than its factorization.

87775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19978 (or 19967 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 87775600 is about 9368.8633248650. The cubic root of 87775600 is about 444.4176196773.

The spelling of 87775600 in words is "eighty-seven million, seven hundred seventy-five thousand, six hundred".