76527416 has 48 divisors (see below), whose sum is σ = 168342000. Its totient is φ = 32601072.

The previous prime is 76527391. The next prime is 76527431. The reversal of 76527416 is 61472567.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76527416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458165 + ... + 458331.

It is an arithmetic number, because the mean of its divisors is an integer number (3507125).

Almost surely, 2^76527416 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 76527416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84171000).

76527416 is an abundant number, since it is smaller than the sum of its proper divisors (91814584).

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

76527416 is an equidigital number, since it uses as much as digits as its factorization.

76527416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 176 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 76527416 is about 8747.9949702775. The cubic root of 76527416 is about 424.5599431260.

The spelling of 76527416 in words is "seventy-six million, five hundred twenty-seven thousand, four hundred sixteen".