76704444 has 72 divisors (see below), whose sum is σ = 205936640. Its totient is φ = 24004512.

The previous prime is 76704443. The next prime is 76704451. The reversal of 76704444 is 44440767.

76704444 = T₂₈₃₂ + T₂₈₃₃ + ... + T₂₈₅₀.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76704399 and 76704408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76704443) 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 23 ways as a sum of consecutive naturals, for example, 86427 + ... + 87309.

Almost surely, 2^76704444 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 76704444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102968320).

76704444 is an abundant number, since it is smaller than the sum of its proper divisors (129232196).

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

76704444 is a wasteful number, since it uses less digits than its factorization.

76704444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 76704444 is about 8758.1073297831. The cubic root of 76704444 is about 424.8870638789.

The spelling of 76704444 in words is "seventy-six million, seven hundred four thousand, four hundred forty-four".