4008076800 has 960 divisors, whose sum is σ = 17276227584. Its totient is φ = 796262400.

The previous prime is 4008076789. The next prime is 4008076817. The reversal of 4008076800 is 86708004.

It is a tau number, because it is divible by the number of its divisors (960).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108326382 + ... + 108326418.

Almost surely, 2^4008076800 is an apocalyptic number.

4008076800 is a gapful number since it is divisible by the number (40) 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 4008076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638113792).

4008076800 is an abundant number, since it is smaller than the sum of its proper divisors (13268150784).

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

4008076800 is a wasteful number, since it uses less digits than its factorization.

4008076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4008076800 is about 63309.3737135347. The cubic root of 4008076800 is about 1588.4687603861.

The spelling of 4008076800 in words is "four billion, eight million, seventy-six thousand, eight hundred".