785731320 has 384 divisors, whose sum is σ = 3059424000. Its totient is φ = 177396480.

The previous prime is 785731291. The next prime is 785731321. The reversal of 785731320 is 23137587.

785731320 is a `hidden beast` number, since 78 + 573 + 13 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785731321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13317451 + ... + 13317509.

It is an arithmetic number, because the mean of its divisors is an integer number (7967250).

Almost surely, 2^785731320 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 785731320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529712000).

785731320 is an abundant number, since it is smaller than the sum of its proper divisors (2273692680).

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

785731320 is a wasteful number, since it uses less digits than its factorization.

785731320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 785731320 is about 28030.8993790781. The cubic root of 785731320 is about 922.7655128387.

The spelling of 785731320 in words is "seven hundred eighty-five million, seven hundred thirty-one thousand, three hundred twenty".