77690736 has 60 divisors (see below), whose sum is σ = 222746160. Its totient is φ = 25263360.

The previous prime is 77690719. The next prime is 77690749. The reversal of 77690736 is 63709677.

It is a junction number, because it is equal to n+sod(n) for n = 77690691 and 77690700.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 676 + ... + 12483.

It is an arithmetic number, because the mean of its divisors is an integer number (3712436).

Almost surely, 2^77690736 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 77690736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373080).

77690736 is an abundant number, since it is smaller than the sum of its proper divisors (145055424).

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

77690736 is a wasteful number, since it uses less digits than its factorization.

77690736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 77690736 is about 8814.2348505131. The cubic root of 77690736 is about 426.7004281010.

The spelling of 77690736 in words is "seventy-seven million, six hundred ninety thousand, seven hundred thirty-six".