808400272960 has 336 divisors, whose sum is σ = 2291935260672. Its totient is φ = 266022973440.

The previous prime is 808400272957. The next prime is 808400272993. The reversal of 808400272960 is 69272004808.

It is a super-2 number, since 2×808400272960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 808400272960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273383802 + ... + 273386758.

Almost surely, 2^808400272960 is an apocalyptic number.

808400272960 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 808400272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145967630336).

808400272960 is an abundant number, since it is smaller than the sum of its proper divisors (1483534987712).

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

808400272960 is a wasteful number, since it uses less digits than its factorization.

808400272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 808400272960 in words is "eight hundred eight billion, four hundred million, two hundred seventy-two thousand, nine hundred sixty".