785005056 has 240 divisors, whose sum is σ = 2619796608. Its totient is φ = 223641600.

The previous prime is 785005003. The next prime is 785005057. The reversal of 785005056 is 650500587.

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 785005056.

It is not an unprimeable number, because it can be changed into a prime (785005057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861241 + ... + 862151.

Almost surely, 2^785005056 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 785005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309898304).

785005056 is an abundant number, since it is smaller than the sum of its proper divisors (1834791552).

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

785005056 is a wasteful number, since it uses less digits than its factorization.

785005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 785005056 is about 28017.9416802877. The cubic root of 785005056 is about 922.4811162327.

The spelling of 785005056 in words is "seven hundred eighty-five million, five thousand, fifty-six".