77287120 has 40 divisors (see below), whose sum is σ = 181131264. Its totient is φ = 30667392.

The previous prime is 77287087. The next prime is 77287127. The reversal of 77287120 is 2178277.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77287127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6357 + ... + 13963.

Almost surely, 2^77287120 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 77287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90565632).

77287120 is an abundant number, since it is smaller than the sum of its proper divisors (103844144).

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

77287120 is a wasteful number, since it uses less digits than its factorization.

77287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 77287120 is about 8791.3093450293. The cubic root of 77287120 is about 425.9602187572.

The spelling of 77287120 in words is "seventy-seven million, two hundred eighty-seven thousand, one hundred twenty".