87788390400 has 864 divisors, whose sum is σ = 341146915200. Its totient is φ = 21499084800.

The previous prime is 87788390387. The next prime is 87788390411. The reversal of 87788390400 is 409388778.

87788390400 is a `hidden beast` number, since 8 + 7 + 78 + 83 + 90 + 400 = 666.

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, 323942265 + ... + 323942535.

Almost surely, 2^87788390400 is an apocalyptic number.

87788390400 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 87788390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170573457600).

87788390400 is an abundant number, since it is smaller than the sum of its proper divisors (253358524800).

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

87788390400 is a wasteful number, since it uses less digits than its factorization.

87788390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87788390400 in words is "eighty-seven billion, seven hundred eighty-eight million, three hundred ninety thousand, four hundred".