8378042400 has 864 divisors, whose sum is σ = 38331296640. Its totient is φ = 1672151040.

The previous prime is 8378042383. The next prime is 8378042401. The reversal of 8378042400 is 42408738.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378042401) 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, 12448464 + ... + 12449136.

Almost surely, 2^8378042400 is an apocalyptic number.

8378042400 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 8378042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165648320).

8378042400 is an abundant number, since it is smaller than the sum of its proper divisors (29953254240).

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

8378042400 is a wasteful number, since it uses less digits than its factorization.

8378042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8378042400 is about 91531.6469861654. The cubic root of 8378042400 is about 2031.0199279929.

The spelling of 8378042400 in words is "eight billion, three hundred seventy-eight million, forty-two thousand, four hundred".