76649360 has 60 divisors (see below), whose sum is σ = 184328604. Its totient is φ = 29640960.

The previous prime is 76649359. The next prime is 76649383. The reversal of 76649360 is 6394667.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48219136 + 28430224 = 6944^2 + 5332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76382 + ... + 77378.

Almost surely, 2^76649360 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 76649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92164302).

76649360 is an abundant number, since it is smaller than the sum of its proper divisors (107679244).

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

76649360 is a wasteful number, since it uses less digits than its factorization.

76649360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 76649360 is about 8754.9620216195. The cubic root of 76649360 is about 424.7853310346.

The spelling of 76649360 in words is "seventy-six million, six hundred forty-nine thousand, three hundred sixty".