8784420400 has 120 divisors (see below), whose sum is σ = 24897803264. Its totient is φ = 2914617600.

The previous prime is 8784420397. The next prime is 8784420457. The reversal of 8784420400 is 40244878.

It is a self number, because there is not a number n which added to its sum of digits gives 8784420400.

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, 36199 + ... + 137401.

Almost surely, 2^8784420400 is an apocalyptic number.

8784420400 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 8784420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448901632).

8784420400 is an abundant number, since it is smaller than the sum of its proper divisors (16113382864).

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

8784420400 is a wasteful number, since it uses less digits than its factorization.

8784420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101259 (or 101248 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 8784420400 is about 93725.2388633926. The cubic root of 8784420400 is about 2063.3411391319.

The spelling of 8784420400 in words is "eight billion, seven hundred eighty-four million, four hundred twenty thousand, four hundred".