785401056 has 192 divisors, whose sum is σ = 2608381440. Its totient is φ = 227589120.

The previous prime is 785401051. The next prime is 785401069. The reversal of 785401056 is 650104587.

785401056 is a `hidden beast` number, since 7 + 8 + 540 + 105 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 785401056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785401051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216796 + ... + 220388.

It is an arithmetic number, because the mean of its divisors is an integer number (13585320).

Almost surely, 2^785401056 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 785401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304190720).

785401056 is an abundant number, since it is smaller than the sum of its proper divisors (1822980384).

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

785401056 is a wasteful number, since it uses less digits than its factorization.

785401056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 785401056 is about 28025.0076895618. The cubic root of 785401056 is about 922.6362070016.

The spelling of 785401056 in words is "seven hundred eighty-five million, four hundred one thousand, fifty-six".