825735792 has 160 divisors (see below), whose sum is σ = 2554836480. Its totient is φ = 224824320.

The previous prime is 825735791. The next prime is 825735793. The reversal of 825735792 is 297537528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825735791) and next prime (825735793).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825735791) 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, 808242 + ... + 809262.

It is an arithmetic number, because the mean of its divisors is an integer number (15967728).

Almost surely, 2^825735792 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 825735792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277418240).

825735792 is an abundant number, since it is smaller than the sum of its proper divisors (1729100688).

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

825735792 is a wasteful number, since it uses less digits than its factorization.

825735792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 825735792 is about 28735.6188727509. The cubic root of 825735792 is about 938.1674694884.

The spelling of 825735792 in words is "eight hundred twenty-five million, seven hundred thirty-five thousand, seven hundred ninety-two".