785991360 has 560 divisors, whose sum is σ = 3278380032. Its totient is φ = 158054400.

The previous prime is 785991347. The next prime is 785991377. The reversal of 785991360 is 63199587.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25354545 + ... + 25354575.

Almost surely, 2^785991360 is an apocalyptic number.

785991360 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 785991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639190016).

785991360 is an abundant number, since it is smaller than the sum of its proper divisors (2492388672).

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

785991360 is a wasteful number, since it uses less digits than its factorization.

785991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 785991360 is about 28035.5374480319. The cubic root of 785991360 is about 922.8672988952.

The spelling of 785991360 in words is "seven hundred eighty-five million, nine hundred ninety-one thousand, three hundred sixty".