716642400 has 72 divisors (see below), whose sum is σ = 2332678824. Its totient is φ = 191104000.

The previous prime is 716642393. The next prime is 716642401. The reversal of 716642400 is 4246617.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716642401) 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 11 ways as a sum of consecutive naturals, for example, 146901 + ... + 151700.

It is an arithmetic number, because the mean of its divisors is an integer number (32398317).

Almost surely, 2^716642400 is an apocalyptic number.

It is an amenable number.

716642400 is an abundant number, since it is smaller than the sum of its proper divisors (1616036424).

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

716642400 is a wasteful number, since it uses less digits than its factorization.

716642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298624 (or 298611 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 716642400 is about 26770.1774368419. The cubic root of 716642400 is about 894.8855590594.

The spelling of 716642400 in words is "seven hundred sixteen million, six hundred forty-two thousand, four hundred".