846378774 has 72 divisors (see below), whose sum is σ = 1951283880. Its totient is φ = 271935792.

The previous prime is 846378749. The next prime is 846378803. The reversal of 846378774 is 477873648.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 846378774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7910029 + ... + 7910135.

It is an arithmetic number, because the mean of its divisors is an integer number (27101165).

Almost surely, 2^846378774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846378774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975641940).

846378774 is an abundant number, since it is smaller than the sum of its proper divisors (1104905106).

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

846378774 is a wasteful number, since it uses less digits than its factorization.

846378774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 149 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 846378774 is about 29092.5896750358. The cubic root of 846378774 is about 945.9211174908.

Multiplying 846378774 by its sum of digits (54), we get a square (45704453796 = 213786²).

846378774 divided by its sum of digits (54) gives a square (15673681 = 3959²).

The spelling of 846378774 in words is "eight hundred forty-six million, three hundred seventy-eight thousand, seven hundred seventy-four".