801166464 has 480 divisors, whose sum is σ = 2954674800. Its totient is φ = 214244352.

The previous prime is 801166451. The next prime is 801166469. The reversal of 801166464 is 464661108.

801166464 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 6 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (801166469) 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, 9652567 + ... + 9652649.

Almost surely, 2^801166464 is an apocalyptic number.

801166464 is a gapful number since it is divisible by the number (84) 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 801166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477337400).

801166464 is an abundant number, since it is smaller than the sum of its proper divisors (2153508336).

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

801166464 is a wasteful number, since it uses less digits than its factorization.

801166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 801166464 is about 28304.8841015115. The cubic root of 801166464 is about 928.7687348008.

The spelling of 801166464 in words is "eight hundred one million, one hundred sixty-six thousand, four hundred sixty-four".