76618720 has 48 divisors (see below), whose sum is σ = 181854288. Its totient is φ = 30504960.

The previous prime is 76618699. The next prime is 76618739. The reversal of 76618720 is 2781667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76618720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37567 + ... + 39553.

It is an arithmetic number, because the mean of its divisors is an integer number (3788631).

Almost surely, 2^76618720 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 76618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90927144).

76618720 is an abundant number, since it is smaller than the sum of its proper divisors (105235568).

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

76618720 is a wasteful number, since it uses less digits than its factorization.

76618720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 76618720 is about 8753.2119818956. The cubic root of 76618720 is about 424.7287219200.

The spelling of 76618720 in words is "seventy-six million, six hundred eighteen thousand, seven hundred twenty".