76673880 has 96 divisors (see below), whose sum is σ = 250295760. Its totient is φ = 20355840.

The previous prime is 76673851. The next prime is 76673887. The reversal of 76673880 is 8837667.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76673887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133995 + ... + 134565.

Almost surely, 2^76673880 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 76673880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125147880).

76673880 is an abundant number, since it is smaller than the sum of its proper divisors (173621880).

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

76673880 is a wasteful number, since it uses less digits than its factorization.

76673880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76673880 is about 8756.3622583810. The cubic root of 76673880 is about 424.8306222406.

The spelling of 76673880 in words is "seventy-six million, six hundred seventy-three thousand, eight hundred eighty".