276780400 has 240 divisors, whose sum is σ = 790449408. Its totient is φ = 92160000.

The previous prime is 276780397. The next prime is 276780401. The reversal of 276780400 is 4087672.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276780401) 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, 2740350 + ... + 2740450.

Almost surely, 2^276780400 is an apocalyptic number.

276780400 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 276780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395224704).

276780400 is an abundant number, since it is smaller than the sum of its proper divisors (513669008).

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

276780400 is a wasteful number, since it uses less digits than its factorization.

276780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 276780400 is about 16636.7184264205. The cubic root of 276780400 is about 651.6960832811.

The spelling of 276780400 in words is "two hundred seventy-six million, seven hundred eighty thousand, four hundred".