87680690400 has 144 divisors (see below), whose sum is σ = 287051721264. Its totient is φ = 23246254080.

The previous prime is 87680690359. The next prime is 87680690431. The reversal of 87680690400 is 409608678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87680690400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309612 + ... + 520788.

It is an arithmetic number, because the mean of its divisors is an integer number (1993414731).

Almost surely, 2^87680690400 is an apocalyptic number.

87680690400 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 87680690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143525860632).

87680690400 is an abundant number, since it is smaller than the sum of its proper divisors (199371030864).

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

87680690400 is a wasteful number, since it uses less digits than its factorization.

87680690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211373 (or 211360 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 87680690400 in words is "eighty-seven billion, six hundred eighty million, six hundred ninety thousand, four hundred".