76644880 has 60 divisors (see below), whose sum is σ = 192995460. Its totient is φ = 28294656.

The previous prime is 76644847. The next prime is 76644889. The reversal of 76644880 is 8844667.

It can be written as a sum of positive squares in 6 ways, for example, as 24285184 + 52359696 = 4928^2 + 7236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76644889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10686 + ... + 16354.

It is an arithmetic number, because the mean of its divisors is an integer number (3216591).

Almost surely, 2^76644880 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 76644880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96497730).

76644880 is an abundant number, since it is smaller than the sum of its proper divisors (116350580).

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

76644880 is a wasteful number, since it uses less digits than its factorization.

76644880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 76644880 is about 8754.7061629731. The cubic root of 76644880 is about 424.7770549256. Note that the first 3 decimals are identical.

It can be divided in two parts, 7664 and 4880, that added together give a square (12544 = 112²).

The spelling of 76644880 in words is "seventy-six million, six hundred forty-four thousand, eight hundred eighty".