713756736 has 504 divisors, whose sum is σ = 2755452960. Its totient is φ = 175633920.

The previous prime is 713756651. The next prime is 713756737. The reversal of 713756736 is 637657317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

Its product of digits (555660) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 713756691 and 713756700.

It is not an unprimeable number, because it can be changed into a prime (713756737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37566135 + ... + 37566153.

Almost surely, 2^713756736 is an apocalyptic number.

713756736 is a gapful number since it is divisible by the number (76) 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 713756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377726480).

713756736 is an abundant number, since it is smaller than the sum of its proper divisors (2041696224).

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

713756736 is a wasteful number, since it uses less digits than its factorization.

713756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The square root of 713756736 is about 26716.2260807922. The cubic root of 713756736 is about 893.6828146735.

The spelling of 713756736 in words is "seven hundred thirteen million, seven hundred fifty-six thousand, seven hundred thirty-six".