276676400 has 240 divisors, whose sum is σ = 893776128. Its totient is φ = 79488000.

The previous prime is 276676399. The next prime is 276676403. The reversal of 276676400 is 4676672.

It is a happy number.

276676400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (276676403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400055 + ... + 400745.

Almost surely, 2^276676400 is an apocalyptic number.

276676400 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 276676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446888064).

276676400 is an abundant number, since it is smaller than the sum of its proper divisors (617099728).

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

276676400 is a wasteful number, since it uses less digits than its factorization.

276676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 276676400 is about 16633.5925163508. The cubic root of 276676400 is about 651.6144483057.

It can be divided in two parts, 276676 and 400, that multiplied together give a square (110670400 = 10520²).

The spelling of 276676400 in words is "two hundred seventy-six million, six hundred seventy-six thousand, four hundred".