78215082624 has 1152 divisors, whose sum is σ = 297551217600. Its totient is φ = 20316635136.

The previous prime is 78215082601. The next prime is 78215082677. The reversal of 78215082624 is 42628051287.

78215082624 is a `hidden beast` number, since 7 + 8 + 2 + 15 + 0 + 8 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78215082624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78215082624.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1071439452 + ... + 1071439524.

Almost surely, 2^78215082624 is an apocalyptic number.

78215082624 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 78215082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148775608800).

78215082624 is an abundant number, since it is smaller than the sum of its proper divisors (219336134976).

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

78215082624 is a wasteful number, since it uses less digits than its factorization.

78215082624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 78215082624 in words is "seventy-eight billion, two hundred fifteen million, eighty-two thousand, six hundred twenty-four".