76121200 has 60 divisors (see below), whose sum is σ = 186818400. Its totient is φ = 29793280.

The previous prime is 76121183. The next prime is 76121219. The reversal of 76121200 is 212167.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16776 + ... + 20824.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^76121200 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 76121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409200).

76121200 is an abundant number, since it is smaller than the sum of its proper divisors (110697200).

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

76121200 is a wasteful number, since it uses less digits than its factorization.

76121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 76121200 is about 8724.7464146530. The cubic root of 76121200 is about 423.8074063014.

Adding to 76121200 its reverse (212167), we get a palindrome (76333367).

The spelling of 76121200 in words is "seventy-six million, one hundred twenty-one thousand, two hundred".