77033680 has 20 divisors (see below), whose sum is σ = 179103492. Its totient is φ = 30813440.

The previous prime is 77033669. The next prime is 77033689. The reversal of 77033680 is 8633077.

It can be written as a sum of positive squares in 2 ways, for example, as 19395216 + 57638464 = 4404^2 + 7592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77033689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481381 + ... + 481540.

Almost surely, 2^77033680 is an apocalyptic number.

It is an amenable number.

77033680 is an abundant number, since it is smaller than the sum of its proper divisors (102069812).

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

77033680 is a wasteful number, since it uses less digits than its factorization.

77033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962934 (or 962928 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 77033680 is about 8776.8832736912. The cubic root of 77033680 is about 425.4941058365.

The spelling of 77033680 in words is "seventy-seven million, thirty-three thousand, six hundred eighty".