76766844 has 96 divisors (see below), whose sum is σ = 224888832. Its totient is φ = 19800000.

The previous prime is 76766831. The next prime is 76766887. The reversal of 76766844 is 44866767.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76766793 and 76766802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231759 + ... + 232089.

It is an arithmetic number, because the mean of its divisors is an integer number (2342592).

Almost surely, 2^76766844 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 76766844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112444416).

76766844 is an abundant number, since it is smaller than the sum of its proper divisors (148121988).

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

76766844 is a wasteful number, since it uses less digits than its factorization.

76766844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 76766844 is about 8761.6690190853. The cubic root of 76766844 is about 425.0022495844.

The spelling of 76766844 in words is "seventy-six million, seven hundred sixty-six thousand, eight hundred forty-four".