76851200 has 144 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 28753920.

The previous prime is 76851193. The next prime is 76851221. The reversal of 76851200 is 215867.

It is a super-3 number, since 3×76851200³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972761 + ... + 972839.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 2^76851200 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 76851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

76851200 is an abundant number, since it is smaller than the sum of its proper divisors (126260800).

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

76851200 is a wasteful number, since it uses less digits than its factorization.

76851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 76851200 is about 8766.4816203537. The cubic root of 76851200 is about 425.1578652295.

The spelling of 76851200 in words is "seventy-six million, eight hundred fifty-one thousand, two hundred".