280772400 has 120 divisors (see below), whose sum is σ = 910566720. Its totient is φ = 73944320.

The previous prime is 280772389. The next prime is 280772497. The reversal of 280772400 is 4277082.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98191 + ... + 101009.

It is an arithmetic number, because the mean of its divisors is an integer number (7588056).

Almost surely, 2^280772400 is an apocalyptic number.

280772400 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 280772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455283360).

280772400 is an abundant number, since it is smaller than the sum of its proper divisors (629794320).

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

280772400 is a wasteful number, since it uses less digits than its factorization.

280772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 280772400 is about 16756.2645001802. The cubic root of 280772400 is about 654.8142744018.

The spelling of 280772400 in words is "two hundred eighty million, seven hundred seventy-two thousand, four hundred".