7966252800 has 810 divisors, whose sum is σ = 32630939264. Its totient is φ = 1916006400.

The previous prime is 7966252793. The next prime is 7966252813. The reversal of 7966252800 is 82526697.

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×7966252800² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62726337 + ... + 62726463.

Almost surely, 2^7966252800 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 7966252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315469632).

7966252800 is an abundant number, since it is smaller than the sum of its proper divisors (24664686464).

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

7966252800 is a wasteful number, since it uses less digits than its factorization.

7966252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7966252800 is about 89253.8671431104. The cubic root of 7966252800 is about 1997.1837696179.

The spelling of 7966252800 in words is "seven billion, nine hundred sixty-six million, two hundred fifty-two thousand, eight hundred".