78015602304 has 320 divisors, whose sum is σ = 243577762560. Its totient is φ = 24758286336.

The previous prime is 78015602297. The next prime is 78015602333. The reversal of 78015602304 is 40320651087.

78015602304 is a `hidden beast` number, since 7 + 8 + 0 + 15 + 602 + 30 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 18027789 + ... + 18032115.

It is an arithmetic number, because the mean of its divisors is an integer number (761180508).

Almost surely, 2^78015602304 is an apocalyptic number.

78015602304 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78015602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121788881280).

78015602304 is an abundant number, since it is smaller than the sum of its proper divisors (165562160256).

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

78015602304 is a wasteful number, since it uses less digits than its factorization.

78015602304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 78015602304 in words is "seventy-eight billion, fifteen million, six hundred two thousand, three hundred four".