79689257760 has 288 divisors, whose sum is σ = 297125442432. Its totient is φ = 17585971200.

The previous prime is 79689257741. The next prime is 79689257821. The reversal of 79689257760 is 6775298697.

It is a junction number, because it is equal to n+sod(n) for n = 79689257691 and 79689257700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2811660 + ... + 2839860.

It is an arithmetic number, because the mean of its divisors is an integer number (1031685564).

Almost surely, 2^79689257760 is an apocalyptic number.

79689257760 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 79689257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148562721216).

79689257760 is an abundant number, since it is smaller than the sum of its proper divisors (217436184672).

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

79689257760 is a wasteful number, since it uses less digits than its factorization.

79689257760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28284 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 79689257760 in words is "seventy-nine billion, six hundred eighty-nine million, two hundred fifty-seven thousand, seven hundred sixty".