76374200 has 96 divisors (see below), whose sum is σ = 214941600. Its totient is φ = 24637440.

The previous prime is 76374187. The next prime is 76374209. The reversal of 76374200 is 247367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76374209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22196 + ... + 25404.

It is an arithmetic number, because the mean of its divisors is an integer number (2238975).

Almost surely, 2^76374200 is an apocalyptic number.

76374200 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 76374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107470800).

76374200 is an abundant number, since it is smaller than the sum of its proper divisors (138567400).

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

76374200 is a wasteful number, since it uses less digits than its factorization.

76374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 76374200 is about 8739.2333759890. The cubic root of 76374200 is about 424.2764158190.

The spelling of 76374200 in words is "seventy-six million, three hundred seventy-four thousand, two hundred".