8055158400 has 384 divisors, whose sum is σ = 29869516800. Its totient is φ = 2146176000.

The previous prime is 8055158387. The next prime is 8055158437. The reversal of 8055158400 is 48515508.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997825 + ... + 6998975.

It is an arithmetic number, because the mean of its divisors is an integer number (77785200).

Almost surely, 2^8055158400 is an apocalyptic number.

8055158400 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 8055158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934758400).

8055158400 is an abundant number, since it is smaller than the sum of its proper divisors (21814358400).

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

8055158400 is an equidigital number, since it uses as much as digits as its factorization.

8055158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 8055158400 is about 89750.5342602483. The cubic root of 8055158400 is about 2004.5860095540.

The spelling of 8055158400 in words is "eight billion, fifty-five million, one hundred fifty-eight thousand, four hundred".