79125326280 has 1280 divisors, whose sum is σ = 369065410560. Its totient is φ = 14668646400.

The previous prime is 79125326263. The next prime is 79125326299. The reversal of 79125326280 is 8262352197.

79125326280 is a `hidden beast` number, since 7 + 9 + 12 + 5 + 3 + 2 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 100540047 + ... + 100540833.

It is an arithmetic number, because the mean of its divisors is an integer number (288332352).

Almost surely, 2^79125326280 is an apocalyptic number.

79125326280 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 79125326280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184532705280).

79125326280 is an abundant number, since it is smaller than the sum of its proper divisors (289940084280).

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

79125326280 is a wasteful number, since it uses less digits than its factorization.

79125326280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79125326280 in words is "seventy-nine billion, one hundred twenty-five million, three hundred twenty-six thousand, two hundred eighty".