8378726400 has 1152 divisors, whose sum is σ = 36560160000. Its totient is φ = 1857945600.

The previous prime is 8378726393. The next prime is 8378726417. The reversal of 8378726400 is 46278738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288921586 + ... + 288921614.

It is an arithmetic number, because the mean of its divisors is an integer number (31736250).

Almost surely, 2^8378726400 is an apocalyptic number.

8378726400 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 8378726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080000).

8378726400 is an abundant number, since it is smaller than the sum of its proper divisors (28181433600).

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

8378726400 is a wasteful number, since it uses less digits than its factorization.

8378726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8378726400 is about 91535.3833225163. The cubic root of 8378726400 is about 2031.0751986540.

The spelling of 8378726400 in words is "eight billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred".