76617216 has 120 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 23556096.

The previous prime is 76617187. The next prime is 76617221. The reversal of 76617216 is 61271667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59265 + ... + 60543.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^76617216 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 76617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

76617216 is an abundant number, since it is smaller than the sum of its proper divisors (161700864).

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

76617216 is a wasteful number, since it uses less digits than its factorization.

76617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1297 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 76617216 is about 8753.1260701535. The cubic root of 76617216 is about 424.7259428073.

The spelling of 76617216 in words is "seventy-six million, six hundred seventeen thousand, two hundred sixteen".