76147200 has 180 divisors, whose sum is σ = 272922078. Its totient is φ = 20275200.

The previous prime is 76147177. The next prime is 76147207. The reversal of 76147200 is 274167.

It can be written as a sum of positive squares in 3 ways, for example, as 65804544 + 10342656 = 8112^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (76147207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114870 + ... + 115530.

Almost surely, 2^76147200 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 76147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136461039).

76147200 is an abundant number, since it is smaller than the sum of its proper divisors (196774878).

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

76147200 is a wasteful number, since it uses less digits than its factorization.

76147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76147200 is about 8726.2363020950. The cubic root of 76147200 is about 423.8556527743.

It can be divided in two parts, 761 and 47200, that added together give a square (47961 = 219²).

The spelling of 76147200 in words is "seventy-six million, one hundred forty-seven thousand, two hundred".