713784960 has 480 divisors, whose sum is σ = 2975779620. Its totient is φ = 162570240.

The previous prime is 713784943. The next prime is 713784971. The reversal of 713784960 is 69487317.

It can be written as a sum of positive squares in 2 ways, for example, as 713530944 + 254016 = 26712^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540020 + ... + 2540300.

Almost surely, 2^713784960 is an apocalyptic number.

713784960 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 713784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487889810).

713784960 is an abundant number, since it is smaller than the sum of its proper divisors (2261994660).

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

713784960 is a wasteful number, since it uses less digits than its factorization.

713784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 713784960 is about 26716.7542938883. The cubic root of 713784960 is about 893.6945941169.

Subtracting from 713784960 its product of nonzero digits (254016), we obtain a square (713530944 = 26712²).

The spelling of 713784960 in words is "seven hundred thirteen million, seven hundred eighty-four thousand, nine hundred sixty".