785191680 has 648 divisors, whose sum is σ = 3435121872. Its totient is φ = 164118528.

The previous prime is 785191669. The next prime is 785191727. The reversal of 785191680 is 86191587.

785191680 is a `hidden beast` number, since 78 + 519 + 1 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338187 + ... + 7338293.

It is an arithmetic number, because the mean of its divisors is an integer number (5301114).

Almost surely, 2^785191680 is an apocalyptic number.

785191680 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 785191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717560936).

785191680 is an abundant number, since it is smaller than the sum of its proper divisors (2649930192).

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

785191680 is a wasteful number, since it uses less digits than its factorization.

785191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 785191680 is about 28021.2719197398. The cubic root of 785191680 is about 922.5542127789.

The spelling of 785191680 in words is "seven hundred eighty-five million, one hundred ninety-one thousand, six hundred eighty".