79000729920 has 448 divisors, whose sum is σ = 337251202560. Its totient is φ = 16994893824.

The previous prime is 79000729919. The next prime is 79000729963. The reversal of 79000729920 is 2992700097.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×79000729920² (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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989742 + ... + 1066578.

Almost surely, 2^79000729920 is an apocalyptic number.

79000729920 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 79000729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168625601280).

79000729920 is an abundant number, since it is smaller than the sum of its proper divisors (258250472640).

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

79000729920 is a wasteful number, since it uses less digits than its factorization.

79000729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76887 (or 76871 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 79000729920 in words is "seventy-nine billion, seven hundred twenty-nine thousand, nine hundred twenty".