8278988400 has 240 divisors, whose sum is σ = 29873569120. Its totient is φ = 2177280000.

The previous prime is 8278988363. The next prime is 8278988401. The reversal of 8278988400 is 48898728.

8278988400 is a `hidden beast` number, since 82 + 7 + 89 + 88 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8278988401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783150 + ... + 793650.

Almost surely, 2^8278988400 is an apocalyptic number.

8278988400 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 8278988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936784560).

8278988400 is an abundant number, since it is smaller than the sum of its proper divisors (21594580720).

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

8278988400 is a wasteful number, since it uses less digits than its factorization.

8278988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8278988400 is about 90988.9465814392. The cubic root of 8278988400 is about 2022.9838919020.

The spelling of 8278988400 in words is "eight billion, two hundred seventy-eight million, nine hundred eighty-eight thousand, four hundred".