76755120 has 160 divisors (see below), whose sum is σ = 260524992. Its totient is φ = 18579456.

The previous prime is 76755109. The next prime is 76755139. The reversal of 76755120 is 2155767.

It is a Cunningham number, because it is equal to 8761²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227592 + ... + 227928.

Almost surely, 2^76755120 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 76755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130262496).

76755120 is an abundant number, since it is smaller than the sum of its proper divisors (183769872).

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

76755120 is a wasteful number, since it uses less digits than its factorization.

76755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 76755120 is about 8760.9999429289. Note that the first 4 decimals coincide. The cubic root of 76755120 is about 424.9806127258.

The spelling of 76755120 in words is "seventy-six million, seven hundred fifty-five thousand, one hundred twenty".