76673300 has 72 divisors (see below), whose sum is σ = 185842272. Its totient is φ = 27216000.

The previous prime is 76673297. The next prime is 76673327. The reversal of 76673300 is 337667.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 46490 + ... + 48110.

Almost surely, 2^76673300 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 76673300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92921136).

76673300 is an abundant number, since it is smaller than the sum of its proper divisors (109168972).

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

76673300 is a wasteful number, since it uses less digits than its factorization.

76673300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 76673300 is about 8756.3291395424. The cubic root of 76673300 is about 424.8295510266.

It can be divided in two parts, 76 and 673300, that added together give a palindrome (673376).

The spelling of 76673300 in words is "seventy-six million, six hundred seventy-three thousand, three hundred".