76667536 has 45 divisors (see below), whose sum is σ = 164099523. Its totient is φ = 34673760.

The previous prime is 76667519. The next prime is 76667543. The reversal of 76667536 is 63576667.

76667536 = 280² + 281² + ... + 631².

The square root of 76667536 is 8756.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×76667536² = 11755822152622592, which contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 385165 + ... + 385363.

Almost surely, 2^76667536 is an apocalyptic number.

76667536 is the 8756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76667536

76667536 is an abundant number, since it is smaller than the sum of its proper divisors (87431987).

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

76667536 is a wasteful number, since it uses less digits than its factorization.

76667536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its digits is 952560, while the sum is 46.

The cubic root of 76667536 is about 424.8189050830.

The spelling of 76667536 in words is "seventy-six million, six hundred sixty-seven thousand, five hundred thirty-six".