79777973151360 has 2304 divisors, whose sum is σ = 336751114452480. Its totient is φ = 17296919101440.

The previous prime is 79777973151353. The next prime is 79777973151361. The reversal of 79777973151360 is 6315137977797.

79777973151360 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 79 + 7 + 31 + 513 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (79777973151361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45509396244 + ... + 45509397996.

It is an arithmetic number, because the mean of its divisors is an integer number (146159337870).

Almost surely, 2^{79777973151360} 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 79777973151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168375557226240).

79777973151360 is an abundant number, since it is smaller than the sum of its proper divisors (256973141301120).

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

79777973151360 is a wasteful number, since it uses less digits than its factorization.

79777973151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 367569090, while the sum is 72.

The spelling of 79777973151360 in words is "seventy-nine trillion, seven hundred seventy-seven billion, nine hundred seventy-three million, one hundred fifty-one thousand, three hundred sixty".