78872701824 has 768 divisors, whose sum is σ = 281069568000. Its totient is φ = 21188321280.

The previous prime is 78872701807. The next prime is 78872701841. The reversal of 78872701824 is 42810727887.

It is an interprime number because it is at equal distance from previous prime (78872701807) and next prime (78872701841).

It is a super-2 number, since 2×78872701824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575713084 + ... + 575713220.

It is an arithmetic number, because the mean of its divisors is an integer number (365976000).

Almost surely, 2^78872701824 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 78872701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140534784000).

78872701824 is an abundant number, since it is smaller than the sum of its proper divisors (202196866176).

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

78872701824 is a wasteful number, since it uses less digits than its factorization.

78872701824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 78872701824 in words is "seventy-eight billion, eight hundred seventy-two million, seven hundred one thousand, eight hundred twenty-four".