716257600 has 126 divisors (see below), whose sum is σ = 1873421450. Its totient is φ = 269475840.

The previous prime is 716257589. The next prime is 716257601. The reversal of 716257600 is 6752617.

It can be written as a sum of positive squares in 9 ways, for example, as 71503936 + 644753664 = 8456^2 + 25392^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716257601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 461626 + ... + 463174.

Almost surely, 2^716257600 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 716257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936710725).

716257600 is an abundant number, since it is smaller than the sum of its proper divisors (1157163850).

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

716257600 is a wasteful number, since it uses less digits than its factorization.

716257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 716257600 is about 26762.9893696500. The cubic root of 716257600 is about 894.7253612562.

The spelling of 716257600 in words is "seven hundred sixteen million, two hundred fifty-seven thousand, six hundred".