716620800 has 528 divisors, whose sum is σ = 2859118592. Its totient is φ = 154828800.

The previous prime is 716620789. The next prime is 716620859. The reversal of 716620800 is 8026617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665579 + ... + 16665621.

Almost surely, 2^716620800 is an apocalyptic number.

716620800 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 716620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429559296).

716620800 is an abundant number, since it is smaller than the sum of its proper divisors (2142497792).

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

716620800 is a wasteful number, since it uses less digits than its factorization.

716620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 716620800 is about 26769.7739997931. The cubic root of 716620800 is about 894.8765681865.

It can be divided in two parts, 7166 and 20800, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 716620800 in words is "seven hundred sixteen million, six hundred twenty thousand, eight hundred".