801561600 has 594 divisors, whose sum is σ = 3385557864. Its totient is φ = 180633600.

The previous prime is 801561589. The next prime is 801561619. The reversal of 801561600 is 6165108.

801561600 is a `hidden beast` number, since 8 + 0 + 1 + 56 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11289565 + ... + 11289635.

Almost surely, 2^801561600 is an apocalyptic number.

801561600 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 801561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692778932).

801561600 is an abundant number, since it is smaller than the sum of its proper divisors (2583996264).

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

801561600 is a wasteful number, since it uses less digits than its factorization.

801561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 801561600 is about 28311.8632378726. The cubic root of 801561600 is about 928.9213995559.

The spelling of 801561600 in words is "eight hundred one million, five hundred sixty-one thousand, six hundred".