275815680 has 288 divisors, whose sum is σ = 1042341888. Its totient is φ = 60825600.

The previous prime is 275815643. The next prime is 275815691. The reversal of 275815680 is 86518572.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833115 + ... + 833445.

Almost surely, 2^275815680 is an apocalyptic number.

275815680 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 275815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521170944).

275815680 is an abundant number, since it is smaller than the sum of its proper divisors (766526208).

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

275815680 is a wasteful number, since it uses less digits than its factorization.

275815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 275815680 is about 16607.6994192453. The cubic root of 275815680 is about 650.9380381375.

The spelling of 275815680 in words is "two hundred seventy-five million, eight hundred fifteen thousand, six hundred eighty".