716390400 has 360 divisors, whose sum is σ = 2632893984. Its totient is φ = 170393600.

The previous prime is 716390371. The next prime is 716390413. The reversal of 716390400 is 4093617.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516774 + ... + 13516826.

Almost surely, 2^716390400 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 716390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316446992).

716390400 is an abundant number, since it is smaller than the sum of its proper divisors (1916503584).

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

716390400 is a wasteful number, since it uses less digits than its factorization.

716390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 716390400 is about 26765.4702928979. The cubic root of 716390400 is about 894.7806542985.

The spelling of 716390400 in words is "seven hundred sixteen million, three hundred ninety thousand, four hundred".