8148830800 has 120 divisors (see below), whose sum is σ = 21411879552. Its totient is φ = 2955648000.

The previous prime is 8148830797. The next prime is 8148830821. The reversal of 8148830800 is 80388418.

It is a super-3 number, since 3×8148830800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1894252 + ... + 1898548.

Almost surely, 2^8148830800 is an apocalyptic number.

8148830800 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 8148830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705939776).

8148830800 is an abundant number, since it is smaller than the sum of its proper divisors (13263048752).

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

8148830800 is a wasteful number, since it uses less digits than its factorization.

8148830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 8148830800 is about 90270.8745941901. The cubic root of 8148830800 is about 2012.3264400303.

The spelling of 8148830800 in words is "eight billion, one hundred forty-eight million, eight hundred thirty thousand, eight hundred".