78613286400 has 1200 divisors, whose sum is σ = 325462146768. Its totient is φ = 18579456000.

The previous prime is 78613286393. The next prime is 78613286431. The reversal of 78613286400 is 468231687.

78613286400 is a `hidden beast` number, since 7 + 8 + 613 + 28 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 695692744 + ... + 695692856.

Almost surely, 2^78613286400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78613286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162731073384).

78613286400 is an abundant number, since it is smaller than the sum of its proper divisors (246848860368).

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

78613286400 is a wasteful number, since it uses less digits than its factorization.

78613286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 78613286400 in words is "seventy-eight billion, six hundred thirteen million, two hundred eighty-six thousand, four hundred".