77241320 has 64 divisors (see below), whose sum is σ = 189378000. Its totient is φ = 28182528.

The previous prime is 77241313. The next prime is 77241349. The reversal of 77241320 is 2314277.

It can be written as a sum of positive squares in 8 ways, for example, as 10099684 + 67141636 = 3178^2 + 8194^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 77241320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45446 + ... + 47114.

Almost surely, 2^77241320 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 77241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94689000).

77241320 is an abundant number, since it is smaller than the sum of its proper divisors (112136680).

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

77241320 is a wasteful number, since it uses less digits than its factorization.

77241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 77241320 is about 8788.7041138043. The cubic root of 77241320 is about 425.8760614275.

Adding to 77241320 its reverse (2314277), we get a palindrome (79555597).

The spelling of 77241320 in words is "seventy-seven million, two hundred forty-one thousand, three hundred twenty".