823778160 has 80 divisors (see below), whose sum is σ = 2595622560. Its totient is φ = 216069120.

The previous prime is 823778107. The next prime is 823778161. The reversal of 823778160 is 61877328.

823778160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×823778160² = 1357220913785971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823778161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13495 + ... + 42774.

It is an arithmetic number, because the mean of its divisors is an integer number (32445282).

Almost surely, 2^823778160 is an apocalyptic number.

823778160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823778160 is an abundant number, since it is smaller than the sum of its proper divisors (1771844400).

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

823778160 is a wasteful number, since it uses less digits than its factorization.

823778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56346 (or 56340 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 823778160 is about 28701.5358474072. The cubic root of 823778160 is about 937.4254888337.

The spelling of 823778160 in words is "eight hundred twenty-three million, seven hundred seventy-eight thousand, one hundred sixty".