76313652 has 48 divisors (see below), whose sum is σ = 188112960. Its totient is φ = 24012288.

The previous prime is 76313597. The next prime is 76313659. The reversal of 76313652 is 25631367.

It is a super-3 number, since 3×76313652³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76313659) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98338 + ... + 99110.

It is an arithmetic number, because the mean of its divisors is an integer number (3919020).

Almost surely, 2^76313652 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 76313652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94056480).

76313652 is an abundant number, since it is smaller than the sum of its proper divisors (111799308).

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

76313652 is a wasteful number, since it uses less digits than its factorization.

76313652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 76313652 is about 8735.7685408898. The cubic root of 76313652 is about 424.1642667773.

It can be divided in two parts, 7631365 and 2, that added together give a palindrome (7631367).

The spelling of 76313652 in words is "seventy-six million, three hundred thirteen thousand, six hundred fifty-two".