716192400 has 480 divisors, whose sum is σ = 2993522688. Its totient is φ = 141926400.

The previous prime is 716192383. The next prime is 716192417. The reversal of 716192400 is 4291617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (716192383) and next prime (716192417).

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 95 ways as a sum of consecutive naturals, for example, 2125032 + ... + 2125368.

Almost surely, 2^716192400 is an apocalyptic number.

716192400 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 716192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496761344).

716192400 is an abundant number, since it is smaller than the sum of its proper divisors (2277330288).

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

716192400 is a wasteful number, since it uses less digits than its factorization.

716192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 716192400 is about 26761.7712418293. The cubic root of 716192400 is about 894.6982118695.

The spelling of 716192400 in words is "seven hundred sixteen million, one hundred ninety-two thousand, four hundred".