79292275920 has 1280 divisors, whose sum is σ = 344977920000. Its totient is φ = 16452771840.

The previous prime is 79292275859. The next prime is 79292275921. The reversal of 79292275920 is 2957229297.

79292275920 is a `hidden beast` number, since 7 + 9 + 29 + 2 + 27 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79292275921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 346254366 + ... + 346254594.

It is an arithmetic number, because the mean of its divisors is an integer number (269514000).

Almost surely, 2^79292275920 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 79292275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960000).

79292275920 is an abundant number, since it is smaller than the sum of its proper divisors (265685644080).

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

79292275920 is a wasteful number, since it uses less digits than its factorization.

79292275920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 79292275920 in words is "seventy-nine billion, two hundred ninety-two million, two hundred seventy-five thousand, nine hundred twenty".