78956815872 has 320 divisors, whose sum is σ = 242534476800. Its totient is φ = 22574407680.

The previous prime is 78956815793. The next prime is 78956815957. The reversal of 78956815872 is 27851865987.

It is a super-2 number, since 2×78956815872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134508763 + ... + 134509349.

It is an arithmetic number, because the mean of its divisors is an integer number (757920240).

Almost surely, 2^78956815872 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 78956815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121267238400).

78956815872 is an abundant number, since it is smaller than the sum of its proper divisors (163577660928).

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

78956815872 is a wasteful number, since it uses less digits than its factorization.

78956815872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1041 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 66.

The spelling of 78956815872 in words is "seventy-eight billion, nine hundred fifty-six million, eight hundred fifteen thousand, eight hundred seventy-two".