87820309600 has 72 divisors (see below), whose sum is σ = 215311922280. Its totient is φ = 34977285120.

The previous prime is 87820309543. The next prime is 87820309637. The reversal of 87820309600 is 690302878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49170 + ... + 421969.

It is an arithmetic number, because the mean of its divisors is an integer number (2990443365).

Almost surely, 2^87820309600 is an apocalyptic number.

87820309600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87820309600 is an abundant number, since it is smaller than the sum of its proper divisors (127491612680).

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

87820309600 is a wasteful number, since it uses less digits than its factorization.

87820309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471392 (or 471379 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 87820309600 in words is "eighty-seven billion, eight hundred twenty million, three hundred nine thousand, six hundred".