823730880 has 112 divisors (see below), whose sum is σ = 2988990720. Its totient is φ = 188279808.

The previous prime is 823730879. The next prime is 823730891. The reversal of 823730880 is 88037328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 54570 + ... + 68009.

Almost surely, 2^823730880 is an apocalyptic number.

823730880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823730880 is an abundant number, since it is smaller than the sum of its proper divisors (2165259840).

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

823730880 is a wasteful number, since it uses less digits than its factorization.

823730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122606 (or 122596 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 823730880 is about 28700.7121862856. The cubic root of 823730880 is about 937.4075542621.

The spelling of 823730880 in words is "eight hundred twenty-three million, seven hundred thirty thousand, eight hundred eighty".