87796800 has 504 divisors, whose sum is σ = 389794496. Its totient is φ = 18247680.

The previous prime is 87796783. The next prime is 87796829. The reversal of 87796800 is 869778.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310367 + ... + 1310433.

Almost surely, 2^87796800 is an apocalyptic number.

87796800 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 87796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194897248).

87796800 is an abundant number, since it is smaller than the sum of its proper divisors (301997696).

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

87796800 is a wasteful number, since it uses less digits than its factorization.

87796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87796800 is about 9369.9946638192. The cubic root of 87796800 is about 444.4533961160.

The spelling of 87796800 in words is "eighty-seven million, seven hundred ninety-six thousand, eight hundred".