8049178800 has 360 divisors, whose sum is σ = 30235658544. Its totient is φ = 1971210240.

The previous prime is 8049178777. The next prime is 8049178871. The reversal of 8049178800 is 88719408.

8049178800 is a `hidden beast` number, since 80 + 491 + 7 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 13712107 + ... + 13712693.

Almost surely, 2^8049178800 is an apocalyptic number.

8049178800 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 8049178800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117829272).

8049178800 is an abundant number, since it is smaller than the sum of its proper divisors (22186479744).

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

8049178800 is a wasteful number, since it uses less digits than its factorization.

8049178800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8049178800 is about 89717.2157392326. The cubic root of 8049178800 is about 2004.0898641381.

The spelling of 8049178800 in words is "eight billion, forty-nine million, one hundred seventy-eight thousand, eight hundred".