276142080 has 192 divisors, whose sum is σ = 902210400. Its totient is φ = 72089600.

The previous prime is 276142057. The next prime is 276142091. The reversal of 276142080 is 80241672.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2734030 + ... + 2734130.

Almost surely, 2^276142080 is an apocalyptic number.

276142080 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 276142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

276142080 is an abundant number, since it is smaller than the sum of its proper divisors (626068320).

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

276142080 is a wasteful number, since it uses less digits than its factorization.

276142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 276142080 is about 16617.5232811632. The cubic root of 276142080 is about 651.1947100569.

The spelling of 276142080 in words is "two hundred seventy-six million, one hundred forty-two thousand, eighty".