60077920 has 144 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 20127744.

The previous prime is 60077893. The next prime is 60077929. The reversal of 60077920 is 2977006.

It is a happy number.

60077920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60077929) 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 23 ways as a sum of consecutive naturals, for example, 619312 + ... + 619408.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^60077920 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 60077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

60077920 is an abundant number, since it is smaller than the sum of its proper divisors (108842720).

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

60077920 is a wasteful number, since it uses less digits than its factorization.

60077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 60077920 is about 7750.9947748660. The cubic root of 60077920 is about 391.6561610783.

The spelling of 60077920 in words is "sixty million, seventy-seven thousand, nine hundred twenty".