785473920 has 864 divisors, whose sum is σ = 3618866160. Its totient is φ = 156119040.

The previous prime is 785473891. The next prime is 785473951. The reversal of 785473920 is 29374587.

785473920 is a `hidden beast` number, since 78 + 547 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34151029 + ... + 34151051.

Almost surely, 2^785473920 is an apocalyptic number.

785473920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809433080).

785473920 is an abundant number, since it is smaller than the sum of its proper divisors (2833392240).

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

785473920 is a wasteful number, since it uses less digits than its factorization.

785473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 785473920 is about 28026.3076412145. The cubic root of 785473920 is about 922.6647380241.

The spelling of 785473920 in words is "seven hundred eighty-five million, four hundred seventy-three thousand, nine hundred twenty".