79701672960 has 1056 divisors, whose sum is σ = 345491677440. Its totient is φ = 16541024256.

The previous prime is 79701672949. The next prime is 79701672971. The reversal of 79701672960 is 6927610797.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (79701672949) and next prime (79701672971).

It is a junction number, because it is equal to n+sod(n) for n = 79701672897 and 79701672906.

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, 348042126 + ... + 348042354.

Almost surely, 2^79701672960 is an apocalyptic number.

79701672960 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 79701672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172745838720).

79701672960 is an abundant number, since it is smaller than the sum of its proper divisors (265790004480).

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

79701672960 is a wasteful number, since it uses less digits than its factorization.

79701672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 79701672960 in words is "seventy-nine billion, seven hundred one million, six hundred seventy-two thousand, nine hundred sixty".