713813688 has 256 divisors, whose sum is σ = 2378342400. Its totient is φ = 194088960.

The previous prime is 713813677. The next prime is 713813707. The reversal of 713813688 is 886318317.

It is a super-2 number, since 2×713813688² = 1019059962352322688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4546506 + ... + 4546662.

It is an arithmetic number, because the mean of its divisors is an integer number (9290400).

Almost surely, 2^713813688 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 713813688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189171200).

713813688 is an abundant number, since it is smaller than the sum of its proper divisors (1664528712).

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

713813688 is a wasteful number, since it uses less digits than its factorization.

713813688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 713813688 is about 26717.2919286368. The cubic root of 713813688 is about 893.7065835887.

The spelling of 713813688 in words is "seven hundred thirteen million, eight hundred thirteen thousand, six hundred eighty-eight".