76919280 has 80 divisors (see below), whose sum is σ = 244296864. Its totient is φ = 20008960.

The previous prime is 76919279. The next prime is 76919287. The reversal of 76919280 is 8291967.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76919287) 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 15 ways as a sum of consecutive naturals, for example, 5932 + ... + 13748.

Almost surely, 2^76919280 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 76919280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122148432).

76919280 is an abundant number, since it is smaller than the sum of its proper divisors (167377584).

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

76919280 is a wasteful number, since it uses less digits than its factorization.

76919280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 76919280 is about 8770.3637324800. The cubic root of 76919280 is about 425.2833727236.

The spelling of 76919280 in words is "seventy-six million, nine hundred nineteen thousand, two hundred eighty".