8178434880 has 896 divisors, whose sum is σ = 34607333376. Its totient is φ = 1586995200.

The previous prime is 8178434857. The next prime is 8178434893. The reversal of 8178434880 is 884348718.

It is a super-2 number, since 2×8178434880² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98535319 + ... + 98535401.

It is an arithmetic number, because the mean of its divisors is an integer number (38624256).

Almost surely, 2^8178434880 is an apocalyptic number.

8178434880 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 8178434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303666688).

8178434880 is an abundant number, since it is smaller than the sum of its proper divisors (26428898496).

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

8178434880 is a wasteful number, since it uses less digits than its factorization.

8178434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 8178434880 is about 90434.6995350789. The cubic root of 8178434880 is about 2014.7603710712.

The spelling of 8178434880 in words is "eight billion, one hundred seventy-eight million, four hundred thirty-four thousand, eight hundred eighty".