76930440 has 128 divisors (see below), whose sum is σ = 250335360. Its totient is φ = 18837504.

The previous prime is 76930433. The next prime is 76930453. The reversal of 76930440 is 4403967.

It is a Cunningham number, because it is equal to 8771²-1.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87282 + ... + 88158.

It is an arithmetic number, because the mean of its divisors is an integer number (1955745).

Almost surely, 2^76930440 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 76930440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125167680).

76930440 is an abundant number, since it is smaller than the sum of its proper divisors (173404920).

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

76930440 is a wasteful number, since it uses less digits than its factorization.

76930440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 76930440 is about 8770.9999429940. Note that the first 4 decimals coincide. The cubic root of 76930440 is about 425.3039394481.

The spelling of 76930440 in words is "seventy-six million, nine hundred thirty thousand, four hundred forty".