87077462400 has 480 divisors, whose sum is σ = 331731238080. Its totient is φ = 22469529600.

The previous prime is 87077462383. The next prime is 87077462489. The reversal of 87077462400 is 426477078.

87077462400 is a `hidden beast` number, since 87 + 0 + 77 + 462 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8029782 + ... + 8040618.

It is an arithmetic number, because the mean of its divisors is an integer number (691106746).

Almost surely, 2^87077462400 is an apocalyptic number.

87077462400 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 87077462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165865619040).

87077462400 is an abundant number, since it is smaller than the sum of its proper divisors (244653775680).

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

87077462400 is a wasteful number, since it uses less digits than its factorization.

87077462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 87077462400 in words is "eighty-seven billion, seventy-seven million, four hundred sixty-two thousand, four hundred".