801360600 has 96 divisors (see below), whose sum is σ = 2508529920. Its totient is φ = 211605120.

The previous prime is 801360589. The next prime is 801360607. The reversal of 801360600 is 6063108.

It is a super-2 number, since 2×801360600² = 1284357622464720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801360607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55317 + ... + 68283.

It is an arithmetic number, because the mean of its divisors is an integer number (26130520).

Almost surely, 2^801360600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254264960).

801360600 is an abundant number, since it is smaller than the sum of its proper divisors (1707169320).

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

801360600 is a wasteful number, since it uses less digits than its factorization.

801360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 801360600 is about 28308.3132666007. The cubic root of 801360600 is about 928.8437474618.

The spelling of 801360600 in words is "eight hundred one million, three hundred sixty thousand, six hundred".