275320080 has 320 divisors, whose sum is σ = 1099929600. Its totient is φ = 62000640.

The previous prime is 275320069. The next prime is 275320081. The reversal of 275320080 is 80023572.

It is a super-2 number, since 2×275320080² = 151602292902412800, 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 (275320081) 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, 1980651 + ... + 1980789.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^275320080 is an apocalyptic number.

275320080 is a gapful number since it is divisible by the number (20) 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 275320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

275320080 is an abundant number, since it is smaller than the sum of its proper divisors (824609520).

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

275320080 is a wasteful number, since it uses less digits than its factorization.

275320080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 275320080 is about 16592.7719203272. The cubic root of 275320080 is about 650.5479245790.

The spelling of 275320080 in words is "two hundred seventy-five million, three hundred twenty thousand, eighty".