77833728 has 240 divisors, whose sum is σ = 272363520. Its totient is φ = 20901888.

The previous prime is 77833669. The next prime is 77833729. The reversal of 77833728 is 82733877.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77833729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612801 + ... + 612927.

It is an arithmetic number, because the mean of its divisors is an integer number (1134848).

Almost surely, 2^77833728 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 77833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

77833728 is an abundant number, since it is smaller than the sum of its proper divisors (194529792).

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

77833728 is a wasteful number, since it uses less digits than its factorization.

77833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 77833728 is about 8822.3425460588. The cubic root of 77833728 is about 426.9620523987.

It can be divided in two parts, 7783 and 3728, that added together give a palindrome (11511).

The spelling of 77833728 in words is "seventy-seven million, eight hundred thirty-three thousand, seven hundred twenty-eight".