713905920 has 576 divisors, whose sum is σ = 3131735040. Its totient is φ = 149962752.

The previous prime is 713905877. The next prime is 713905921. The reversal of 713905920 is 29509317.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×713905920² = 1019323325222092800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713905921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144847 + ... + 3145073.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^713905920 is an apocalyptic number.

713905920 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 713905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

713905920 is an abundant number, since it is smaller than the sum of its proper divisors (2417829120).

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

713905920 is a wasteful number, since it uses less digits than its factorization.

713905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 713905920 is about 26719.0179460249. The cubic root of 713905920 is about 893.7450739292.

The spelling of 713905920 in words is "seven hundred thirteen million, nine hundred five thousand, nine hundred twenty".