77989120 has 144 divisors (see below), whose sum is σ = 211921920. Its totient is φ = 27238400.

The previous prime is 77989111. The next prime is 77989127. The reversal of 77989120 is 2198977.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77989127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408225 + ... + 408415.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^77989120 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 77989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

77989120 is an abundant number, since it is smaller than the sum of its proper divisors (133932800).

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

77989120 is a wasteful number, since it uses less digits than its factorization.

77989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 77989120 is about 8831.1448861402. The cubic root of 77989120 is about 427.2460012091.

The spelling of 77989120 in words is "seventy-seven million, nine hundred eighty-nine thousand, one hundred twenty".