1227878400 has 312 divisors, whose sum is σ = 4647769984. Its totient is φ = 280166400.

The previous prime is 1227878389. The next prime is 1227878423. The reversal of 1227878400 is 48787221.

It is a super-6 number, since 6×1227878400⁶ (a number of 56 digits) contains 666666 as substring.

It is a congruent number.

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, 2150115 + ... + 2150685.

Almost surely, 2^1227878400 is an apocalyptic number.

1227878400 is a gapful number since it is divisible by the number (10) 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 1227878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323884992).

1227878400 is an abundant number, since it is smaller than the sum of its proper divisors (3419891584).

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

1227878400 is an equidigital number, since it uses as much as digits as its factorization.

1227878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1227878400 is about 35041.0958732743. The cubic root of 1227878400 is about 1070.8248799802.

The spelling of 1227878400 in words is "one billion, two hundred twenty-seven million, eight hundred seventy-eight thousand, four hundred".