87842073600 has 792 divisors, whose sum is σ = 341763157008. Its totient is φ = 21469593600.

The previous prime is 87842073577. The next prime is 87842073619. The reversal of 87842073600 is 637024878.

It is a happy number.

87842073600 is a `hidden beast` number, since 8 + 7 + 84 + 207 + 360 + 0 = 666.

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, 160588527 + ... + 160589073.

Almost surely, 2^87842073600 is an apocalyptic number.

87842073600 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 87842073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881578504).

87842073600 is an abundant number, since it is smaller than the sum of its proper divisors (253921083408).

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

87842073600 is a wasteful number, since it uses less digits than its factorization.

87842073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87842073600 in words is "eighty-seven billion, eight hundred forty-two million, seventy-three thousand, six hundred".