895078080 has 336 divisors, whose sum is σ = 3424793760. Its totient is φ = 219967488.

The previous prime is 895078057. The next prime is 895078091. The reversal of 895078080 is 80870598.

895078080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1459854 + ... + 1460466.

Almost surely, 2^895078080 is an apocalyptic number.

895078080 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 895078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712396880).

895078080 is an abundant number, since it is smaller than the sum of its proper divisors (2529715680).

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

895078080 is a wasteful number, since it uses less digits than its factorization.

895078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 895078080 is about 29917.8555381230. The cubic root of 895078080 is about 963.7261436357.

The spelling of 895078080 in words is "eight hundred ninety-five million, seventy-eight thousand, eighty".