76449220 has 48 divisors (see below), whose sum is σ = 168058800. Its totient is φ = 29173760.

The previous prime is 76449209. The next prime is 76449239. The reversal of 76449220 is 2294467.

It can be written as a sum of positive squares in 8 ways, for example, as 5080516 + 71368704 = 2254^2 + 8448^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50880 + ... + 52360.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^76449220 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 76449220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

76449220 is an abundant number, since it is smaller than the sum of its proper divisors (91609580).

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

76449220 is a wasteful number, since it uses less digits than its factorization.

76449220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 76449220 is about 8743.5244609940. The cubic root of 76449220 is about 424.4152881990.

The spelling of 76449220 in words is "seventy-six million, four hundred forty-nine thousand, two hundred twenty".