76021920 has 288 divisors, whose sum is σ = 290594304. Its totient is φ = 17971200.

The previous prime is 76021879. The next prime is 76021949. The reversal of 76021920 is 2912067.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580255 + ... + 580385.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 2^76021920 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 76021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

76021920 is an abundant number, since it is smaller than the sum of its proper divisors (214572384).

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

76021920 is a wasteful number, since it uses less digits than its factorization.

76021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 76021920 is about 8719.0549946654. The cubic root of 76021920 is about 423.6230778675.

Adding to 76021920 its reverse (2912067), we get a palindrome (78933987).

The spelling of 76021920 in words is "seventy-six million, twenty-one thousand, nine hundred twenty".