78715401120 has 72 divisors (see below), whose sum is σ = 268616311236. Its totient is φ = 20990773248.

The previous prime is 78715401113. The next prime is 78715401137. The reversal of 78715401120 is 2110451787.

78715401120 is a `hidden beast` number, since 7 + 87 + 1 + 540 + 11 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71976304656 + 6739096464 = 268284^2 + 82092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78715401120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27330297 + ... + 27333176.

Almost surely, 2^78715401120 is an apocalyptic number.

It is an amenable number.

78715401120 is an abundant number, since it is smaller than the sum of its proper divisors (189900910116).

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

78715401120 is a wasteful number, since it uses less digits than its factorization.

78715401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54663494 (or 54663483 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 78715401120 in words is "seventy-eight billion, seven hundred fifteen million, four hundred one thousand, one hundred twenty".