881824320 has 280 divisors, whose sum is σ = 3379387704. Its totient is φ = 216981504.

The previous prime is 881824309. The next prime is 881824327. The reversal of 881824320 is 23428188.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 721244736 = 12672^2 + 26856^2 .

It is a super-2 number, since 2×881824320² = 1555228262686924800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (881824327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335652 + ... + 338268.

Almost surely, 2^881824320 is an apocalyptic number.

881824320 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 881824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689693852).

881824320 is an abundant number, since it is smaller than the sum of its proper divisors (2497563384).

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

881824320 is a wasteful number, since it uses less digits than its factorization.

881824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 881824320 is about 29695.5269358872. The cubic root of 881824320 is about 958.9457175995.

The spelling of 881824320 in words is "eight hundred eighty-one million, eight hundred twenty-four thousand, three hundred twenty".