79703870400 has 1680 divisors, whose sum is σ = 375003974400. Its totient is φ = 16460236800.

The previous prime is 79703870377. The next prime is 79703870417. The reversal of 79703870400 is 407830797.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 488980719 + ... + 488980881.

Almost surely, 2^79703870400 is an apocalyptic number.

79703870400 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 79703870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187501987200).

79703870400 is an abundant number, since it is smaller than the sum of its proper divisors (295300104000).

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

79703870400 is a wasteful number, since it uses less digits than its factorization.

79703870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 79703870400 in words is "seventy-nine billion, seven hundred three million, eight hundred seventy thousand, four hundred".