8276400 has 270 divisors, whose sum is σ = 33231380. Its totient is φ = 1900800.

The previous prime is 8276369. The next prime is 8276431. The reversal of 8276400 is 46728.

8276400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8276369) and next prime (8276431).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435591 + ... + 435609.

Almost surely, 2^8276400 is an apocalyptic number.

8276400 is a gapful number since it is divisible by the number (80) 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 8276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615690).

8276400 is an abundant number, since it is smaller than the sum of its proper divisors (24954980).

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

8276400 is a wasteful number, since it uses less digits than its factorization.

8276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8276400 is about 2876.8733027368. The cubic root of 8276400 is about 202.2773043384.

It can be divided in two parts, 827 and 6400, that added together give a palindrome (7227).

The spelling of 8276400 in words is "eight million, two hundred seventy-six thousand, four hundred".