78708071520 has 768 divisors, whose sum is σ = 330728832000. Its totient is φ = 17270931456.

The previous prime is 78708071513. The next prime is 78708071551. The reversal of 78708071520 is 2517080787.

It is a super-2 number, since 2×78708071520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18137511 + ... + 18141849.

It is an arithmetic number, because the mean of its divisors is an integer number (430636500).

Almost surely, 2^78708071520 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 78708071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416000).

78708071520 is an abundant number, since it is smaller than the sum of its proper divisors (252020760480).

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

78708071520 is a wasteful number, since it uses less digits than its factorization.

78708071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 78708071520 in words is "seventy-eight billion, seven hundred eight million, seventy-one thousand, five hundred twenty".