76684320 has 240 divisors, whose sum is σ = 277904088. Its totient is φ = 19906560.

The previous prime is 76684319. The next prime is 76684327. The reversal of 76684320 is 2348667.

It can be written as a sum of positive squares in 4 ways, for example, as 37896336 + 38787984 = 6156^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76684327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790512 + ... + 790608.

Almost surely, 2^76684320 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 76684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952044).

76684320 is an abundant number, since it is smaller than the sum of its proper divisors (201219768).

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

76684320 is a wasteful number, since it uses less digits than its factorization.

76684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76684320 is about 8756.9583760573. The cubic root of 76684320 is about 424.8499031674.

The spelling of 76684320 in words is "seventy-six million, six hundred eighty-four thousand, three hundred twenty".