79761249120 has 768 divisors, whose sum is σ = 319938232320. Its totient is φ = 16290201600.

The previous prime is 79761249109. The next prime is 79761249287. The reversal of 79761249120 is 2194216797.

It is a super-2 number, since 2×79761249120² (a number of 23 digits) contains 22 as substring.

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 79761249120.

It is a congruent number.

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, 81140149 + ... + 81141131.

It is an arithmetic number, because the mean of its divisors is an integer number (416586240).

Almost surely, 2^79761249120 is an apocalyptic number.

79761249120 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 79761249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159969116160).

79761249120 is an abundant number, since it is smaller than the sum of its proper divisors (240176983200).

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

79761249120 is a wasteful number, since it uses less digits than its factorization.

79761249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 79761249120 in words is "seventy-nine billion, seven hundred sixty-one million, two hundred forty-nine thousand, one hundred twenty".