8047828800 has 756 divisors, whose sum is σ = 33268468896. Its totient is φ = 1826457600.

The previous prime is 8047828799. The next prime is 8047828801. The reversal of 8047828800 is 88287408.

8047828800 is a `hidden beast` number, since 80 + 478 + 28 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8047828799) and next prime (8047828801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8047828801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 171230377 + ... + 171230423.

Almost surely, 2^8047828800 is an apocalyptic number.

8047828800 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 8047828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634234448).

8047828800 is an abundant number, since it is smaller than the sum of its proper divisors (25220640096).

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

8047828800 is a wasteful number, since it uses less digits than its factorization.

8047828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 8047828800 is about 89709.6917841099. The cubic root of 8047828800 is about 2003.9778165759.

It can be divided in two parts, 80478 and 28800, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 8047828800 in words is "eight billion, forty-seven million, eight hundred twenty-eight thousand, eight hundred".