825579040 has 96 divisors (see below), whose sum is σ = 2291478336. Its totient is φ = 277109760.

The previous prime is 825579037. The next prime is 825579077. The reversal of 825579040 is 40975528.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 825578984 and 825579002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4839 + ... + 40921.

It is an arithmetic number, because the mean of its divisors is an integer number (23869566).

Almost surely, 2^825579040 is an apocalyptic number.

825579040 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 825579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145739168).

825579040 is an abundant number, since it is smaller than the sum of its proper divisors (1465899296).

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

825579040 is a wasteful number, since it uses less digits than its factorization.

825579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36122 (or 36114 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 825579040 is about 28732.8912572334. The cubic root of 825579040 is about 938.1081006463.

The spelling of 825579040 in words is "eight hundred twenty-five million, five hundred seventy-nine thousand, forty".