76822200 has 432 divisors, whose sum is σ = 328025880. Its totient is φ = 15966720.

The previous prime is 76822181. The next prime is 76822217. The reversal of 76822200 is 222867.

It is a super-3 number, since 3×76822200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1146567 + ... + 1146633.

Almost surely, 2^76822200 is an apocalyptic number.

76822200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76822200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164012940).

76822200 is an abundant number, since it is smaller than the sum of its proper divisors (251203680).

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

76822200 is a wasteful number, since it uses less digits than its factorization.

76822200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76822200 is about 8764.8274369779. The cubic root of 76822200 is about 425.1043803597.

The spelling of 76822200 in words is "seventy-six million, eight hundred twenty-two thousand, two hundred".