77008320 has 140 divisors (see below), whose sum is σ = 274024344. Its totient is φ = 20528640.

The previous prime is 77008319. The next prime is 77008333. The reversal of 77008320 is 2380077.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24435 + ... + 27405.

Almost surely, 2^77008320 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 77008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137012172).

77008320 is an abundant number, since it is smaller than the sum of its proper divisors (197016024).

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

77008320 is a wasteful number, since it uses less digits than its factorization.

77008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77008320 is about 8775.4384505847. The cubic root of 77008320 is about 425.4474088815.

Adding to 77008320 its reverse (2380077), we get a palindrome (79388397).

The spelling of 77008320 in words is "seventy-seven million, eight thousand, three hundred twenty".