78731627520 has 1408 divisors, whose sum is σ = 338063523840. Its totient is φ = 15182069760.

The previous prime is 78731627509. The next prime is 78731627537. The reversal of 78731627520 is 2572613787.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78731627520.

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, 996602841 + ... + 996602919.

Almost surely, 2^78731627520 is an apocalyptic number.

78731627520 is a gapful number since it is divisible by the number (70) 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 78731627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169031761920).

78731627520 is an abundant number, since it is smaller than the sum of its proper divisors (259331896320).

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

78731627520 is a wasteful number, since it uses less digits than its factorization.

78731627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 78731627520 in words is "seventy-eight billion, seven hundred thirty-one million, six hundred twenty-seven thousand, five hundred twenty".