79755840000 has 1000 divisors, whose sum is σ = 316705737348. Its totient is φ = 19906560000.

The previous prime is 79755839971. The next prime is 79755840001. The reversal of 79755840000 is 4855797.

79755840000 is a `hidden beast` number, since 7 + 97 + 558 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 16758855936 + 62996984064 = 129456^2 + 250992^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

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

It is not an unprimeable number, because it can be changed into a prime (79755840001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 440639910 + ... + 440640090.

Almost surely, 2^79755840000 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 79755840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158352868674).

79755840000 is an abundant number, since it is smaller than the sum of its proper divisors (236949897348).

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

79755840000 is an equidigital number, since it uses as much as digits as its factorization.

79755840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 79755840000 in words is "seventy-nine billion, seven hundred fifty-five million, eight hundred forty thousand".