713038080 has 288 divisors, whose sum is σ = 2487139200. Its totient is φ = 173408256.

The previous prime is 713038013. The next prime is 713038091. The reversal of 713038080 is 80830317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115672 + ... + 2116008.

It is an arithmetic number, because the mean of its divisors is an integer number (8635900).

Almost surely, 2^713038080 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 713038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243569600).

713038080 is an abundant number, since it is smaller than the sum of its proper divisors (1774101120).

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

713038080 is a wasteful number, since it uses less digits than its factorization.

713038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 713038080 is about 26702.7728897206. The cubic root of 713038080 is about 893.3827749176.

Adding to 713038080 its reverse (80830317), we get a palindrome (793868397).

The spelling of 713038080 in words is "seven hundred thirteen million, thirty-eight thousand, eighty".