276766464 has 144 divisors (see below), whose sum is σ = 835587200. Its totient is φ = 80621568.

The previous prime is 276766453. The next prime is 276766499. The reversal of 276766464 is 464667672.

276766464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 188967 + ... + 190425.

Almost surely, 2^276766464 is an apocalyptic number.

276766464 is a gapful number since it is divisible by the number (24) 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 276766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417793600).

276766464 is an abundant number, since it is smaller than the sum of its proper divisors (558820736).

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

276766464 is a wasteful number, since it uses less digits than its factorization.

276766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 276766464 is about 16636.2995885503. The cubic root of 276766464 is about 651.6851453811.

The spelling of 276766464 in words is "two hundred seventy-six million, seven hundred sixty-six thousand, four hundred sixty-four".