716497600 has 504 divisors, whose sum is σ = 2387711760. Its totient is φ = 209018880.

The previous prime is 716497597. The next prime is 716497609. The reversal of 716497600 is 6794617.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (716497609) 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 71 ways as a sum of consecutive naturals, for example, 19364782 + ... + 19364818.

Almost surely, 2^716497600 is an apocalyptic number.

716497600 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 716497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193855880).

716497600 is an abundant number, since it is smaller than the sum of its proper divisors (1671214160).

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

716497600 is a wasteful number, since it uses less digits than its factorization.

716497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 716497600 is about 26767.4727981556. The cubic root of 716497600 is about 894.8252834570.

The spelling of 716497600 in words is "seven hundred sixteen million, four hundred ninety-seven thousand, six hundred".