276378480 has 280 divisors, whose sum is σ = 1102688352. Its totient is φ = 63078912.

The previous prime is 276378467. The next prime is 276378491. The reversal of 276378480 is 84873672.

It is a happy number.

276378480 is a `hidden beast` number, since 2 + 7 + 637 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×276378480³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407902 + ... + 408578.

Almost surely, 2^276378480 is an apocalyptic number.

276378480 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 276378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551344176).

276378480 is an abundant number, since it is smaller than the sum of its proper divisors (826309872).

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

276378480 is an equidigital number, since it uses as much as digits as its factorization.

276378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 276378480 is about 16624.6347328295. The cubic root of 276378480 is about 651.3804822039.

The spelling of 276378480 in words is "two hundred seventy-six million, three hundred seventy-eight thousand, four hundred eighty".