76005120 has 72 divisors (see below), whose sum is σ = 242753616. Its totient is φ = 20267008.

The previous prime is 76005119. The next prime is 76005121. The reversal of 76005120 is 2150067.

It is an interprime number because it is at equal distance from previous prime (76005119) and next prime (76005121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76005121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (3371578).

Almost surely, 2^76005120 is an apocalyptic number.

It is an amenable number.

76005120 is an abundant number, since it is smaller than the sum of its proper divisors (166748496).

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

76005120 is a wasteful number, since it uses less digits than its factorization.

76005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 76005120 is about 8718.0915342751. The cubic root of 76005120 is about 423.5918702368.

Adding to 76005120 its reverse (2150067), we get a palindrome (78155187).

It can be divided in two parts, 7600 and 5120, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 76005120 in words is "seventy-six million, five thousand, one hundred twenty".