801601600 has 42 divisors (see below), whose sum is σ = 1972444874. Its totient is φ = 320640000.

The previous prime is 801601579. The next prime is 801601613. The reversal of 801601600 is 6106108.

801601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15808576 + 785793024 = 3976^2 + 28032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 248901 + ... + 252100.

Almost surely, 2^801601600 is an apocalyptic number.

801601600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801601600 is an abundant number, since it is smaller than the sum of its proper divisors (1170843274).

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

801601600 is a wasteful number, since it uses less digits than its factorization.

801601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501023 (or 501008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 801601600 is about 28312.5696467135. The cubic root of 801601600 is about 928.9368511601.

Adding to 801601600 its reverse (6106108), we get a palindrome (807707708).

The spelling of 801601600 in words is "eight hundred one million, six hundred one thousand, six hundred".