8918078400 has 1008 divisors, whose sum is σ = 41363066880. Its totient is φ = 1848268800.

The previous prime is 8918078383. The next prime is 8918078401. The reversal of 8918078400 is 48708198.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8918078401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23284609 + ... + 23284991.

Almost surely, 2^8918078400 is an apocalyptic number.

8918078400 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 8918078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20681533440).

8918078400 is an abundant number, since it is smaller than the sum of its proper divisors (32444988480).

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

8918078400 is a wasteful number, since it uses less digits than its factorization.

8918078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8918078400 is about 94435.5780413293. The cubic root of 8918078400 is about 2073.7533247824.

The spelling of 8918078400 in words is "eight billion, nine hundred eighteen million, seventy-eight thousand, four hundred".