87730084800 has 168 divisors, whose sum is σ = 319808809200. Its totient is φ = 23394677760.

The previous prime is 87730084769. The next prime is 87730084829. The reversal of 87730084800 is 848003778.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972195 + ... + 1058594.

Almost surely, 2^87730084800 is an apocalyptic number.

87730084800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87730084800 is an abundant number, since it is smaller than the sum of its proper divisors (232078724400).

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

87730084800 is a wasteful number, since it uses less digits than its factorization.

87730084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030820 (or 2030799 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 87730084800 in words is "eighty-seven billion, seven hundred thirty million, eighty-four thousand, eight hundred".