87879792000 has 2048 divisors, whose sum is σ = 410605977600. Its totient is φ = 16035840000.

The previous prime is 87879791957. The next prime is 87879792041. The reversal of 87879792000 is 29797878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1489487971 + ... + 1489488029.

It is an arithmetic number, because the mean of its divisors is an integer number (200491200).

Almost surely, 2^87879792000 is an apocalyptic number.

87879792000 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 87879792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205302988800).

87879792000 is an abundant number, since it is smaller than the sum of its proper divisors (322726185600).

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

87879792000 is a wasteful number, since it uses less digits than its factorization.

87879792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 57.

The spelling of 87879792000 in words is "eighty-seven billion, eight hundred seventy-nine million, seven hundred ninety-two thousand".