8226878400 has 840 divisors, whose sum is σ = 34413474480. Its totient is φ = 1911029760.

The previous prime is 8226878383. The next prime is 8226878431. The reversal of 8226878400 is 48786228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32011072 + ... + 32011328.

It is an arithmetic number, because the mean of its divisors is an integer number (40968422).

Almost surely, 2^8226878400 is an apocalyptic number.

8226878400 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 8226878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206737240).

8226878400 is an abundant number, since it is smaller than the sum of its proper divisors (26186596080).

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

8226878400 is a wasteful number, since it uses less digits than its factorization.

8226878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8226878400 is about 90702.1410993147. The cubic root of 8226878400 is about 2018.7305686225.

The spelling of 8226878400 in words is "eight billion, two hundred twenty-six million, eight hundred seventy-eight thousand, four hundred".