785916 has 48 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 247536.

The previous prime is 785903. The next prime is 785921. The reversal of 785916 is 619587.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

785916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

2⁷⁸⁵⁹¹⁶ is an apocalyptic number.

785916 is a gapful number since it is divisible by the number (76) 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 785916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

785916 is an abundant number, since it is smaller than the sum of its proper divisors (1364484).

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

785916 is a wasteful number, since it uses less digits than its factorization.

785916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 785916 is about 886.5190353286. The cubic root of 785916 is about 92.2837803447.

It can be divided in two parts, 7859 and 16, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 785916 in words is "seven hundred eighty-five thousand, nine hundred sixteen".