716796788400 has 1440 divisors, whose sum is σ = 3235366256640. Its totient is φ = 147532492800.

The previous prime is 716796788387. The next prime is 716796788423. The reversal of 716796788400 is 4887697617.

716796788400 is a `hidden beast` number, since 7 + 1 + 67 + 96 + 7 + 88 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1161744892 + ... + 1161745508.

Almost surely, 2^716796788400 is an apocalyptic number.

716796788400 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 716796788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617683128320).

716796788400 is an abundant number, since it is smaller than the sum of its proper divisors (2518569468240).

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

716796788400 is a wasteful number, since it uses less digits than its factorization.

716796788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 716796788400 in words is "seven hundred sixteen billion, seven hundred ninety-six million, seven hundred eighty-eight thousand, four hundred".