846761040 has 200 divisors, whose sum is σ = 2964040200. Its totient is φ = 224031744.

The previous prime is 846761017. The next prime is 846761051. The reversal of 846761040 is 40167648.

It can be written as a sum of positive squares in 4 ways, for example, as 70358544 + 776402496 = 8388^2 + 27864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 846760986 and 846761004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 965082 + ... + 965958.

It is an arithmetic number, because the mean of its divisors is an integer number (14820201).

Almost surely, 2^846761040 is an apocalyptic number.

846761040 is a gapful number since it is divisible by the number (80) 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 846761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482020100).

846761040 is an abundant number, since it is smaller than the sum of its proper divisors (2117279160).

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

846761040 is a wasteful number, since it uses less digits than its factorization.

846761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 846761040 is about 29099.1587507268. The cubic root of 846761040 is about 946.0635041184.

The spelling of 846761040 in words is "eight hundred forty-six million, seven hundred sixty-one thousand, forty".