76117120 has 64 divisors (see below), whose sum is σ = 189915840. Its totient is φ = 29117440.

The previous prime is 76117117. The next prime is 76117123. The reversal of 76117120 is 2171167.

It is an interprime number because it is at equal distance from previous prime (76117117) and next prime (76117123).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (76117123) 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, 12135 + ... + 17305.

It is an arithmetic number, because the mean of its divisors is an integer number (2967435).

Almost surely, 2^76117120 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 76117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94957920).

76117120 is an abundant number, since it is smaller than the sum of its proper divisors (113798720).

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

76117120 is a wasteful number, since it uses less digits than its factorization.

76117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 76117120 is about 8724.5125938358. The cubic root of 76117120 is about 423.7998343192.

Adding to 76117120 its reverse (2171167), we get a palindrome (78288287).

The spelling of 76117120 in words is "seventy-six million, one hundred seventeen thousand, one hundred twenty".