76086450 has 144 divisors (see below), whose sum is σ = 235029600. Its totient is φ = 17452800.

The previous prime is 76086443. The next prime is 76086457. The reversal of 76086450 is 5468067.

It is a happy number.

76086450 is a `hidden beast` number, since 7 + 6 + 0 + 8 + 645 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76086443) and next prime (76086457).

It is not an unprimeable number, because it can be changed into a prime (76086457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93646 + ... + 94454.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^76086450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76086450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117514800).

76086450 is an abundant number, since it is smaller than the sum of its proper divisors (158943150).

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

76086450 is a wasteful number, since it uses less digits than its factorization.

76086450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76086450 is about 8722.7547254293. The cubic root of 76086450 is about 423.7429058775.

The spelling of 76086450 in words is "seventy-six million, eighty-six thousand, four hundred fifty".