79442550720 has 672 divisors, whose sum is σ = 311972431680. Its totient is φ = 18393661440.

The previous prime is 79442550713. The next prime is 79442550731. The reversal of 79442550720 is 2705524497.

79442550720 is a `hidden beast` number, since 7 + 94 + 4 + 2 + 550 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×79442550720² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128755852 + ... + 128756468.

It is an arithmetic number, because the mean of its divisors is an integer number (464244690).

Almost surely, 2^79442550720 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 79442550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155986215840).

79442550720 is an abundant number, since it is smaller than the sum of its proper divisors (232529880960).

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

79442550720 is a wasteful number, since it uses less digits than its factorization.

79442550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 79442550720 in words is "seventy-nine billion, four hundred forty-two million, five hundred fifty thousand, seven hundred twenty".