7867972800 has 168 divisors, whose sum is σ = 28681832400. Its totient is φ = 2098114560.

The previous prime is 7867972787. The next prime is 7867972807. The reversal of 7867972800 is 82797687.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7867972807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47865 + ... + 134264.

Almost surely, 2^7867972800 is an apocalyptic number.

It is an amenable number.

7867972800 is an abundant number, since it is smaller than the sum of its proper divisors (20813859600).

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

7867972800 is a wasteful number, since it uses less digits than its factorization.

7867972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182160 (or 182139 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7867972800 is about 88701.5941232174. The cubic root of 7867972800 is about 1988.9366472909.

The spelling of 7867972800 in words is "seven billion, eight hundred sixty-seven million, nine hundred seventy-two thousand, eight hundred".