77520336 has 80 divisors (see below), whose sum is σ = 210462720. Its totient is φ = 24554880.

The previous prime is 77520329. The next prime is 77520337. The reversal of 77520336 is 63302577.

It is a junction number, because it is equal to n+sod(n) for n = 77520297 and 77520306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77520337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87351 + ... + 88233.

It is an arithmetic number, because the mean of its divisors is an integer number (2630784).

Almost surely, 2^77520336 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 77520336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105231360).

77520336 is an abundant number, since it is smaller than the sum of its proper divisors (132942384).

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

77520336 is a wasteful number, since it uses less digits than its factorization.

77520336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 77520336 is about 8804.5633622571. The cubic root of 77520336 is about 426.3882373991.

The spelling of 77520336 in words is "seventy-seven million, five hundred twenty thousand, three hundred thirty-six".