78071460864 has 352 divisors, whose sum is σ = 226381824000. Its totient is φ = 23842160640.

The previous prime is 78071460853. The next prime is 78071460877. The reversal of 78071460864 is 46806417087.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408751009 + ... + 408751199.

Almost surely, 2^78071460864 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 78071460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190912000).

78071460864 is an abundant number, since it is smaller than the sum of its proper divisors (148310363136).

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

78071460864 is a wasteful number, since it uses less digits than its factorization.

78071460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 78071460864 in words is "seventy-eight billion, seventy-one million, four hundred sixty thousand, eight hundred sixty-four".