276788880 has 160 divisors (see below), whose sum is σ = 961843200. Its totient is φ = 73156608.

The previous prime is 276788873. The next prime is 276788881. The reversal of 276788880 is 88887672.

It is a super-2 number, since 2×276788880² = 153224168183308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (276788881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273816 + ... + 274824.

It is an arithmetic number, because the mean of its divisors is an integer number (6011520).

Almost surely, 2^276788880 is an apocalyptic number.

276788880 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 276788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480921600).

276788880 is an abundant number, since it is smaller than the sum of its proper divisors (685054320).

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

276788880 is a wasteful number, since it uses less digits than its factorization.

276788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 276788880 is about 16636.9732824213. The cubic root of 276788880 is about 651.7027387697.

The spelling of 276788880 in words is "two hundred seventy-six million, seven hundred eighty-eight thousand, eight hundred eighty".