801880400 has 30 divisors (see below), whose sum is σ = 1926518622. Its totient is φ = 320752000.

The previous prime is 801880397. The next prime is 801880411. The reversal of 801880400 is 4088108.

It can be written as a sum of positive squares in 3 ways, for example, as 86638864 + 715241536 = 9308^2 + 26744^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1001951 + ... + 1002750.

Almost surely, 2^801880400 is an apocalyptic number.

801880400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801880400 is an abundant number, since it is smaller than the sum of its proper divisors (1124638222).

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

801880400 is a wasteful number, since it uses less digits than its factorization.

801880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004719 (or 2004708 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 801880400 is about 28317.4928268729. The cubic root of 801880400 is about 929.0445345673.

The spelling of 801880400 in words is "eight hundred one million, eight hundred eighty thousand, four hundred".