77989600 has 72 divisors (see below), whose sum is σ = 205065000. Its totient is φ = 28792320.

The previous prime is 77989577. The next prime is 77989601. The reversal of 77989600 is 698977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77989601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6651 + ... + 14149.

It is an arithmetic number, because the mean of its divisors is an integer number (2848125).

Almost surely, 2^77989600 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 77989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102532500).

77989600 is an abundant number, since it is smaller than the sum of its proper divisors (127075400).

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

77989600 is a wasteful number, since it uses less digits than its factorization.

77989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 77989600 is about 8831.1720626426. The cubic root of 77989600 is about 427.2468777316.

The spelling of 77989600 in words is "seventy-seven million, nine hundred eighty-nine thousand, six hundred".