79684300800 has 780 divisors, whose sum is σ = 318305208760. Its totient is φ = 19588055040.

The previous prime is 79684300741. The next prime is 79684300807. The reversal of 79684300800 is 800348697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (780).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79684300807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107826831 + ... + 107827569.

Almost surely, 2^79684300800 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 79684300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159152604380).

79684300800 is an abundant number, since it is smaller than the sum of its proper divisors (238620907960).

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

79684300800 is a wasteful number, since it uses less digits than its factorization.

79684300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79684300800 in words is "seventy-nine billion, six hundred eighty-four million, three hundred thousand, eight hundred".