801340560 has 320 divisors, whose sum is σ = 2962310400. Its totient is φ = 198402048.

The previous prime is 801340457. The next prime is 801340567. The reversal of 801340560 is 65043108.

It is a super-2 number, since 2×801340560² = 1284293386202227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (801340567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5104002 + ... + 5104158.

It is an arithmetic number, because the mean of its divisors is an integer number (9257220).

Almost surely, 2^801340560 is an apocalyptic number.

801340560 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 801340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481155200).

801340560 is an abundant number, since it is smaller than the sum of its proper divisors (2160969840).

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

801340560 is a wasteful number, since it uses less digits than its factorization.

801340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

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

The square root of 801340560 is about 28307.9593047609. The cubic root of 801340560 is about 928.8360047204.

Adding to 801340560 its reverse (65043108), we get a palindrome (866383668).

The spelling of 801340560 in words is "eight hundred one million, three hundred forty thousand, five hundred sixty".