716132400 has 120 divisors (see below), whose sum is σ = 2300311104. Its totient is φ = 190444800.

The previous prime is 716132387. The next prime is 716132407. The reversal of 716132400 is 4231617.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×716132400² = 1025691228659520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (716132407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655855 + ... + 656945.

Almost surely, 2^716132400 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 716132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150155552).

716132400 is an abundant number, since it is smaller than the sum of its proper divisors (1584178704).

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

716132400 is a wasteful number, since it uses less digits than its factorization.

716132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 716132400 is about 26760.6502163157. The cubic root of 716132400 is about 894.6732263154.

The spelling of 716132400 in words is "seven hundred sixteen million, one hundred thirty-two thousand, four hundred".