713404800 has 384 divisors, whose sum is σ = 2731968000. Its totient is φ = 181463040.

The previous prime is 713404793. The next prime is 713404801. The reversal of 713404800 is 8404317.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713404801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987021 + ... + 1987379.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^713404800 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 713404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

713404800 is an abundant number, since it is smaller than the sum of its proper divisors (2018563200).

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

713404800 is a wasteful number, since it uses less digits than its factorization.

713404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 713404800 is about 26709.6387096494. The cubic root of 713404800 is about 893.5359061414.

The spelling of 713404800 in words is "seven hundred thirteen million, four hundred four thousand, eight hundred".