823634880 has 56 divisors (see below), whose sum is σ = 2615043792. Its totient is φ = 219635712.

The previous prime is 823634863. The next prime is 823634881. The reversal of 823634880 is 88436328.

It is a super-2 number, since 2×823634880² = 1356748831105228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823634881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428017 + ... + 429936.

Almost surely, 2^823634880 is an apocalyptic number.

823634880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823634880 is an abundant number, since it is smaller than the sum of its proper divisors (1791408912).

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

823634880 is a wasteful number, since it uses less digits than its factorization.

823634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857973 (or 857963 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 823634880 is about 28699.0397051887. The cubic root of 823634880 is about 937.3711367769.

The spelling of 823634880 in words is "eight hundred twenty-three million, six hundred thirty-four thousand, eight hundred eighty".