7966342800 has 1080 divisors, whose sum is σ = 34364744960. Its totient is φ = 1692057600.

The previous prime is 7966342793. The next prime is 7966342849. The reversal of 7966342800 is 82436697.

7966342800 is a `hidden beast` number, since 7 + 9 + 6 + 634 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×7966342800² (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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 256978785 + ... + 256978815.

Almost surely, 2^7966342800 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 7966342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182372480).

7966342800 is an abundant number, since it is smaller than the sum of its proper divisors (26398402160).

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

7966342800 is a wasteful number, since it uses less digits than its factorization.

7966342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7966342800 is about 89254.3713215213. The cubic root of 7966342800 is about 1997.1912907560.

The spelling of 7966342800 in words is "seven billion, nine hundred sixty-six million, three hundred forty-two thousand, eight hundred".