825290280 has 96 divisors (see below), whose sum is σ = 2694276000. Its totient is φ = 219086208.

The previous prime is 825290267. The next prime is 825290293. The reversal of 825290280 is 82092528.

It is an interprime number because it is at equal distance from previous prime (825290267) and next prime (825290293).

It is a super-2 number, since 2×825290280² = 1362208092524956800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76671 + ... + 86769.

It is an arithmetic number, because the mean of its divisors is an integer number (28065375).

Almost surely, 2^825290280 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 825290280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347138000).

825290280 is an abundant number, since it is smaller than the sum of its proper divisors (1868985720).

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

825290280 is a wasteful number, since it uses less digits than its factorization.

825290280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 825290280 is about 28727.8659144741. The cubic root of 825290280 is about 937.9987149219.

The spelling of 825290280 in words is "eight hundred twenty-five million, two hundred ninety thousand, two hundred eighty".