77828032 has 28 divisors (see below), whose sum is σ = 154813000. Its totient is φ = 38820096.

The previous prime is 77828027. The next prime is 77828033. The reversal of 77828032 is 23082877.

It is a junction number, because it is equal to n+sod(n) for n = 77827982 and 77828000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77828033) 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, 30718 + ... + 33154.

Almost surely, 2^77828032 is an apocalyptic number.

It is an amenable number.

77828032 is a deficient number, since it is larger than the sum of its proper divisors (76984968).

77828032 is a wasteful number, since it uses less digits than its factorization.

77828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 77828032 is about 8822.0197233967. The cubic root of 77828032 is about 426.9516368833.

The spelling of 77828032 in words is "seventy-seven million, eight hundred twenty-eight thousand, thirty-two".