811166400 has 420 divisors, whose sum is σ = 3258418680. Its totient is φ = 196300800.

The previous prime is 811166383. The next prime is 811166401. The reversal of 811166400 is 4661118.

811166400 is a `hidden beast` number, since 8 + 1 + 1 + 16 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (811166401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425316 + ... + 1425884.

Almost surely, 2^811166400 is an apocalyptic number.

811166400 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 811166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629209340).

811166400 is an abundant number, since it is smaller than the sum of its proper divisors (2447252280).

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

811166400 is a wasteful number, since it uses less digits than its factorization.

811166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 811166400 is about 28480.9831290986. The cubic root of 811166400 is about 932.6169786668.

It can be divided in two parts, 81 and 1166400, that multiplied together give a square (94478400 = 9720²).

The spelling of 811166400 in words is "eight hundred eleven million, one hundred sixty-six thousand, four hundred".