7890667200 has 504 divisors, whose sum is σ = 30742174736. Its totient is φ = 1907712000.

The previous prime is 7890667199. The next prime is 7890667219. The reversal of 7890667200 is 27660987.

It is a happy number.

It is a super-2 number, since 2×7890667200² (a number of 21 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 11418855 + ... + 11419545.

Almost surely, 2^7890667200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7890667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371087368).

7890667200 is an abundant number, since it is smaller than the sum of its proper divisors (22851507536).

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

7890667200 is a wasteful number, since it uses less digits than its factorization.

7890667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7890667200 is about 88829.4275564129. The cubic root of 7890667200 is about 1990.8471095303.

The spelling of 7890667200 in words is "seven billion, eight hundred ninety million, six hundred sixty-seven thousand, two hundred".