76115520 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 17584128.

The previous prime is 76115503. The next prime is 76115521. The reversal of 76115520 is 2551167.

It is not an unprimeable number, because it can be changed into a prime (76115521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711307 + ... + 711413.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^76115520 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 76115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

76115520 is an abundant number, since it is smaller than the sum of its proper divisors (223441920).

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

76115520 is a wasteful number, since it uses less digits than its factorization.

76115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 76115520 is about 8724.4208976871. The cubic root of 76115520 is about 423.7968648405.

Adding to 76115520 its reverse (2551167), we get a palindrome (78666687).

It can be divided in two parts, 7611 and 5520, that added together give a palindrome (13131).

The spelling of 76115520 in words is "seventy-six million, one hundred fifteen thousand, five hundred twenty".