716804640 has 480 divisors, whose sum is σ = 2766234240. Its totient is φ = 174182400.

The previous prime is 716804639. The next prime is 716804653. The reversal of 716804640 is 46408617.

716804640 = T₂₈₀ + T₂₈₁ + ... + T₁₆₂₈.

716804640 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 0 + 4 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 716804595 and 716804604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10095805 + ... + 10095875.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2^716804640 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 716804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383117120).

716804640 is an abundant number, since it is smaller than the sum of its proper divisors (2049429600).

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

716804640 is a wasteful number, since it uses less digits than its factorization.

716804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 716804640 is about 26773.2075030244. The cubic root of 716804640 is about 894.9530847311.

The spelling of 716804640 in words is "seven hundred sixteen million, eight hundred four thousand, six hundred forty".