823025280 has 512 divisors, whose sum is σ = 3454617600. Its totient is φ = 161464320.

The previous prime is 823025227. The next prime is 823025297. The reversal of 823025280 is 82520328.

It is a super-2 number, since 2×823025280² = 1354741223038156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808814 + ... + 2809106.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^823025280 is an apocalyptic number.

823025280 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 823025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

823025280 is an abundant number, since it is smaller than the sum of its proper divisors (2631592320).

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

823025280 is a wasteful number, since it uses less digits than its factorization.

823025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 823025280 is about 28688.4171748809. The cubic root of 823025280 is about 937.1398196836.

The spelling of 823025280 in words is "eight hundred twenty-three million, twenty-five thousand, two hundred eighty".