76914240 has 112 divisors (see below), whose sum is σ = 263030208. Its totient is φ = 18929664.

The previous prime is 76914221. The next prime is 76914251. The reversal of 76914240 is 4241967.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399 + ... + 15561.

It is an arithmetic number, because the mean of its divisors is an integer number (2348484).

Almost surely, 2^76914240 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 76914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131515104).

76914240 is an abundant number, since it is smaller than the sum of its proper divisors (186115968).

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

76914240 is a wasteful number, since it uses less digits than its factorization.

76914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76914240 is about 8770.0763964745. The cubic root of 76914240 is about 425.2740838734.

The spelling of 76914240 in words is "seventy-six million, nine hundred fourteen thousand, two hundred forty".