77672320 has 192 divisors, whose sum is σ = 219769200. Its totient is φ = 26132480.

The previous prime is 77672317. The next prime is 77672321. The reversal of 77672320 is 2327677.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77672321) 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, 1316451 + ... + 1316509.

Almost surely, 2^77672320 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 77672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109884600).

77672320 is an abundant number, since it is smaller than the sum of its proper divisors (142096880).

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

77672320 is a wasteful number, since it uses less digits than its factorization.

77672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 77672320 is about 8813.1901148222. The cubic root of 77672320 is about 426.6667100694. Note that the first 3 decimals are identical.

Adding to 77672320 its reverse (2327677), we get a palindrome (79999997).

The spelling of 77672320 in words is "seventy-seven million, six hundred seventy-two thousand, three hundred twenty".