8095334400 has 510 divisors, whose sum is σ = 30482133902. Its totient is φ = 2123366400.

The previous prime is 8095334393. The next prime is 8095334441. The reversal of 8095334400 is 44335908.

8095334400 is a `hidden beast` number, since 80 + 9 + 533 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 8074100736 = 4608^2 + 89856^2 .

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 29 ways as a sum of consecutive naturals, for example, 132710370 + ... + 132710430.

Almost surely, 2^8095334400 is an apocalyptic number.

8095334400 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 8095334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241066951).

8095334400 is an abundant number, since it is smaller than the sum of its proper divisors (22386799502).

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

8095334400 is an frugal number, since it uses more digits than its factorization.

8095334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8095334400 is about 89974.0762664447. The cubic root of 8095334400 is about 2007.9131828096.

The spelling of 8095334400 in words is "eight billion, ninety-five million, three hundred thirty-four thousand, four hundred".