79152353280 has 1872 divisors, whose sum is σ = 382772638080. Its totient is φ = 15182069760.

The previous prime is 79152353263. The next prime is 79152353303. The reversal of 79152353280 is 8235325197.

79152353280 is a `hidden beast` number, since 7 + 9 + 15 + 2 + 353 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6088642554 + ... + 6088642566.

Almost surely, 2^79152353280 is an apocalyptic number.

79152353280 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 79152353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191386319040).

79152353280 is an abundant number, since it is smaller than the sum of its proper divisors (303620284800).

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

79152353280 is a wasteful number, since it uses less digits than its factorization.

79152353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 79152353280 in words is "seventy-nine billion, one hundred fifty-two million, three hundred fifty-three thousand, two hundred eighty".