79840425600 has 768 divisors, whose sum is σ = 324962534400. Its totient is φ = 19010764800.

The previous prime is 79840425551. The next prime is 79840425641. The reversal of 79840425600 is 652404897.

It is a happy number.

79840425600 is a `hidden beast` number, since 7 + 9 + 8 + 40 + 42 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34818054 + ... + 34820346.

It is an arithmetic number, because the mean of its divisors is an integer number (423128300).

Almost surely, 2^79840425600 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 79840425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162481267200).

79840425600 is an abundant number, since it is smaller than the sum of its proper divisors (245122108800).

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

79840425600 is a wasteful number, since it uses less digits than its factorization.

79840425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 79840425600 in words is "seventy-nine billion, eight hundred forty million, four hundred twenty-five thousand, six hundred".