713237760 has 216 divisors, whose sum is σ = 2496226824. Its totient is φ = 188006400.

The previous prime is 713237743. The next prime is 713237821. The reversal of 713237760 is 67732317.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 669360384 = 6624^2 + 25872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163214 + ... + 1163826.

Almost surely, 2^713237760 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 713237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248113412).

713237760 is an abundant number, since it is smaller than the sum of its proper divisors (1782989064).

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

713237760 is a wasteful number, since it uses less digits than its factorization.

713237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 713237760 is about 26706.5115655340. The cubic root of 713237760 is about 893.4661617791.

The spelling of 713237760 in words is "seven hundred thirteen million, two hundred thirty-seven thousand, seven hundred sixty".