826468800 has 84 divisors (see below), whose sum is σ = 2711522136. Its totient is φ = 220390400.

The previous prime is 826468793. The next prime is 826468801. The reversal of 826468800 is 8864628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826468801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81291 + ... + 90890.

Almost surely, 2^826468800 is an apocalyptic number.

826468800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826468800 is an abundant number, since it is smaller than the sum of its proper divisors (1885053336).

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

826468800 is a wasteful number, since it uses less digits than its factorization.

826468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172206 (or 172191 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 826468800 is about 28748.3703885977. The cubic root of 826468800 is about 938.4449920249. Note that the first 3 decimals are identical.

The spelling of 826468800 in words is "eight hundred twenty-six million, four hundred sixty-eight thousand, eight hundred".