713706400 has 216 divisors, whose sum is σ = 1960585452. Its totient is φ = 253440000.

The previous prime is 713706379. The next prime is 713706401. The reversal of 713706400 is 4607317.

713706400 = 231³ + 232³ + ... + 274³.

It can be written as a sum of positive squares in 6 ways, for example, as 485937936 + 227768464 = 22044^2 + 15092^2 .

It is not an unprimeable number, because it can be changed into a prime (713706401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7066350 + ... + 7066450.

Almost surely, 2^713706400 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 713706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980292726).

713706400 is an abundant number, since it is smaller than the sum of its proper divisors (1246879052).

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

713706400 is a wasteful number, since it uses less digits than its factorization.

713706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 713706400 is about 26715.2840149604. The cubic root of 713706400 is about 893.6618058931.

The spelling of 713706400 in words is "seven hundred thirteen million, seven hundred six thousand, four hundred".