76444420 has 48 divisors (see below), whose sum is σ = 173683440. Its totient is φ = 28094976.

The previous prime is 76444409. The next prime is 76444451. The reversal of 76444420 is 2444467.

76444420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2930944 + 73513476 = 1712^2 + 8574^2 .

76444420 is strictly pandigital in base 9.

It is a nialpdrome in base 10.

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, 69394 + ... + 70486.

It is an arithmetic number, because the mean of its divisors is an integer number (3618405).

Almost surely, 2^76444420 is an apocalyptic number.

76444420 is the 4372-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86841720).

76444420 is an abundant number, since it is smaller than the sum of its proper divisors (97239020).

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

76444420 is a wasteful number, since it uses less digits than its factorization.

76444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 76444420 is about 8743.2499678323. The cubic root of 76444420 is about 424.4064054573.

Adding to 76444420 its reverse (2444467), we get a palindrome (78888887).

The spelling of 76444420 in words is "seventy-six million, four hundred forty-four thousand, four hundred twenty".