6276400 has 120 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 2150400.

The previous prime is 6276371. The next prime is 6276407. The reversal of 6276400 is 46726.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6276407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88365 + ... + 88435.

Almost surely, 2^6276400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

6276400 is an abundant number, since it is smaller than the sum of its proper divisors (11159984).

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

6276400 is a wasteful number, since it uses less digits than its factorization.

6276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 6276400 is about 2505.2744360648. The cubic root of 6276400 is about 184.4605664311.

The spelling of 6276400 in words is "six million, two hundred seventy-six thousand, four hundred".