785493920 has 96 divisors (see below), whose sum is σ = 1904031360. Its totient is φ = 306109440.

The previous prime is 785493883. The next prime is 785493923. The reversal of 785493920 is 29394587.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (785493923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789061 + ... + 1789499.

It is an arithmetic number, because the mean of its divisors is an integer number (19833660).

Almost surely, 2^785493920 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 785493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952015680).

785493920 is an abundant number, since it is smaller than the sum of its proper divisors (1118537440).

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

785493920 is a wasteful number, since it uses less digits than its factorization.

785493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 785493920 is about 28026.6644465587. The cubic root of 785493920 is about 922.6725690238.

The spelling of 785493920 in words is "seven hundred eighty-five million, four hundred ninety-three thousand, nine hundred twenty".