76275200 has 120 divisors (see below), whose sum is σ = 194083560. Its totient is φ = 29696000.

The previous prime is 76275197. The next prime is 76275203. The reversal of 76275200 is 257267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76275197) and next prime (76275203).

It is a super-2 number, since 2×76275200² = 11635812270080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76275203) 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 11 ways as a sum of consecutive naturals, for example, 755150 + ... + 755250.

It is an arithmetic number, because the mean of its divisors is an integer number (1617363).

Almost surely, 2^76275200 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 76275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97041780).

76275200 is an abundant number, since it is smaller than the sum of its proper divisors (117808360).

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

76275200 is a wasteful number, since it uses less digits than its factorization.

76275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 76275200 is about 8733.5674268881. The cubic root of 76275200 is about 424.0930138884.

The spelling of 76275200 in words is "seventy-six million, two hundred seventy-five thousand, two hundred".