78977040384 has 432 divisors, whose sum is σ = 249895679040. Its totient is φ = 21941452800.

The previous prime is 78977040379. The next prime is 78977040397. The reversal of 78977040384 is 48304077987.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547646449 + ... + 2547646479.

It is an arithmetic number, because the mean of its divisors is an integer number (578462220).

Almost surely, 2^78977040384 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 78977040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124947839520).

78977040384 is an abundant number, since it is smaller than the sum of its proper divisors (170918638656).

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

78977040384 is an equidigital number, since it uses as much as digits as its factorization.

78977040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 78977040384 in words is "seventy-eight billion, nine hundred seventy-seven million, forty thousand, three hundred eighty-four".