76684000 has 96 divisors (see below), whose sum is σ = 198525600. Its totient is φ = 29030400.

The previous prime is 76683989. The next prime is 76684009. The reversal of 76684000 is 48667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76684009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75496 + ... + 76504.

It is an arithmetic number, because the mean of its divisors is an integer number (2067975).

Almost surely, 2^76684000 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 76684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99262800).

76684000 is an abundant number, since it is smaller than the sum of its proper divisors (121841600).

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

76684000 is a wasteful number, since it uses less digits than its factorization.

76684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 76684000 is about 8756.9401048540. The cubic root of 76684000 is about 424.8493122071.

The spelling of 76684000 in words is "seventy-six million, six hundred eighty-four thousand".