801266400 has 432 divisors, whose sum is σ = 3149048448. Its totient is φ = 190080000.

The previous prime is 801266371. The next prime is 801266419. The reversal of 801266400 is 4662108.

801266400 is a `hidden beast` number, since 8 + 0 + 12 + 6 + 640 + 0 = 666.

801266400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5306325 + ... + 5306475.

It is an arithmetic number, because the mean of its divisors is an integer number (7289464).

Almost surely, 2^801266400 is an apocalyptic number.

801266400 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 801266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574524224).

801266400 is an abundant number, since it is smaller than the sum of its proper divisors (2347782048).

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

801266400 is a wasteful number, since it uses less digits than its factorization.

801266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 801266400 is about 28306.6493955042. The cubic root of 801266400 is about 928.8073508177.

The spelling of 801266400 in words is "eight hundred one million, two hundred sixty-six thousand, four hundred".