76642640 has 80 divisors (see below), whose sum is σ = 184154880. Its totient is φ = 29652480.

The previous prime is 76642619. The next prime is 76642663. The reversal of 76642640 is 4624667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 76642640.

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 15 ways as a sum of consecutive naturals, for example, 423350 + ... + 423530.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2^76642640 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 76642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077440).

76642640 is an abundant number, since it is smaller than the sum of its proper divisors (107512240).

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

76642640 is a wasteful number, since it uses less digits than its factorization.

76642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 76642640 is about 8754.5782308458. The cubic root of 76642640 is about 424.7729167502.

The spelling of 76642640 in words is "seventy-six million, six hundred forty-two thousand, six hundred forty".