801563040 has 240 divisors, whose sum is σ = 2856978432. Its totient is φ = 211631616.

The previous prime is 801563027. The next prime is 801563053. The reversal of 801563040 is 40365108.

801563040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801563027) and next prime (801563053).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 801562995 and 801563013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1645677 + ... + 1646163.

Almost surely, 2^801563040 is an apocalyptic number.

801563040 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 801563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428489216).

801563040 is an abundant number, since it is smaller than the sum of its proper divisors (2055415392).

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

801563040 is a wasteful number, since it uses less digits than its factorization.

801563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 801563040 is about 28311.8886688967. Note that the first 3 decimals coincide. The cubic root of 801563040 is about 928.9219558226.

The spelling of 801563040 in words is "eight hundred one million, five hundred sixty-three thousand, forty".