785896320 has 256 divisors, whose sum is σ = 2763694080. Its totient is φ = 188375040.

The previous prime is 785896303. The next prime is 785896333. The reversal of 785896320 is 23698587.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 785896320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682094 + ... + 2682386.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^785896320 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 785896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

785896320 is an abundant number, since it is smaller than the sum of its proper divisors (1977797760).

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

785896320 is a wasteful number, since it uses less digits than its factorization.

785896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 785896320 is about 28033.8424052073. The cubic root of 785896320 is about 922.8301005034.

The spelling of 785896320 in words is "seven hundred eighty-five million, eight hundred ninety-six thousand, three hundred twenty".