2078476800 has 240 divisors, whose sum is σ = 6941341440. Its totient is φ = 548208640.

The previous prime is 2078476769. The next prime is 2078476843. The reversal of 2078476800 is 86748702.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4338961 + ... + 4339439.

It is an arithmetic number, because the mean of its divisors is an integer number (28922256).

Almost surely, 2^2078476800 is an apocalyptic number.

2078476800 is a gapful number since it is divisible by the number (20) 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 2078476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470670720).

2078476800 is an abundant number, since it is smaller than the sum of its proper divisors (4862864640).

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

2078476800 is a wasteful number, since it uses less digits than its factorization.

2078476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2078476800 is about 45590.3147609226. The cubic root of 2078476800 is about 1276.1891865464.

The spelling of 2078476800 in words is "two billion, seventy-eight million, four hundred seventy-six thousand, eight hundred".