78074265600 has 270 divisors, whose sum is σ = 279684039180. Its totient is φ = 20818821120.

The previous prime is 78074265559. The next prime is 78074265611. The reversal of 78074265600 is 656247087.

78074265600 is a `hidden beast` number, since 7 + 80 + 7 + 4 + 2 + 6 + 560 + 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 17 ways as a sum of consecutive naturals, for example, 3675811 + ... + 3696989.

Almost surely, 2^78074265600 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 78074265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139842019590).

78074265600 is an abundant number, since it is smaller than the sum of its proper divisors (201609773580).

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

78074265600 is a wasteful number, since it uses less digits than its factorization.

78074265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21189 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 78074265600 in words is "seventy-eight billion, seventy-four million, two hundred sixty-five thousand, six hundred".