76513216 has 56 divisors (see below), whose sum is σ = 167572944. Its totient is φ = 34437120.

The previous prime is 76513201. The next prime is 76513219. The reversal of 76513216 is 61231567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76513219) 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, 32991 + ... + 35233.

It is an arithmetic number, because the mean of its divisors is an integer number (2992374).

Almost surely, 2^76513216 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 76513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83786472).

76513216 is an abundant number, since it is smaller than the sum of its proper divisors (91059728).

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

76513216 is a wasteful number, since it uses less digits than its factorization.

76513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 76513216 is about 8747.1833180745. The cubic root of 76513216 is about 424.5336818442.

It can be divided in two parts, 76513 and 216, that added together give a square (76729 = 277²).

The spelling of 76513216 in words is "seventy-six million, five hundred thirteen thousand, two hundred sixteen".