825940752 has 160 divisors (see below), whose sum is σ = 2643664128. Its totient is φ = 216373248.

The previous prime is 825940667. The next prime is 825940757. The reversal of 825940752 is 257049528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (825940757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755118 + ... + 756210.

Almost surely, 2^825940752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825940752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321832064).

825940752 is an abundant number, since it is smaller than the sum of its proper divisors (1817723376).

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

825940752 is a wasteful number, since it uses less digits than its factorization.

825940752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 825940752 is about 28739.1849571278. The cubic root of 825940752 is about 938.2450854762.

The spelling of 825940752 in words is "eight hundred twenty-five million, nine hundred forty thousand, seven hundred fifty-two".