801585840 has 160 divisors (see below), whose sum is σ = 2735824896. Its totient is φ = 192532480.

The previous prime is 801585809. The next prime is 801585901. The reversal of 801585840 is 48585108.

801585840 = T₄₅₆ + T₄₅₇ + ... + T₁₆₉₈.

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 31 ways as a sum of consecutive naturals, for example, 296977 + ... + 299663.

Almost surely, 2^801585840 is an apocalyptic number.

801585840 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 801585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

801585840 is an abundant number, since it is smaller than the sum of its proper divisors (1934239056).

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

801585840 is a wasteful number, since it uses less digits than its factorization.

801585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 801585840 is about 28312.2913237343. The cubic root of 801585840 is about 928.9307632894.

The spelling of 801585840 in words is "eight hundred one million, five hundred eighty-five thousand, eight hundred forty".