8783078400 has 528 divisors, whose sum is σ = 32835190080. Its totient is φ = 2300313600.

The previous prime is 8783078393. The next prime is 8783078401. The reversal of 8783078400 is 48703878.

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

It is not an unprimeable number, because it can be changed into a prime (8783078401) 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, 67046335 + ... + 67046465.

It is an arithmetic number, because the mean of its divisors is an integer number (62187860).

Almost surely, 2^8783078400 is an apocalyptic number.

8783078400 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 8783078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417595040).

8783078400 is an abundant number, since it is smaller than the sum of its proper divisors (24052111680).

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

8783078400 is a wasteful number, since it uses less digits than its factorization.

8783078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8783078400 is about 93718.0793657232. The cubic root of 8783078400 is about 2063.2360612515.

The spelling of 8783078400 in words is "eight billion, seven hundred eighty-three million, seventy-eight thousand, four hundred".