76320767 has 8 divisors (see below), whose sum is σ = 76982400. Its totient is φ = 75662104.

The previous prime is 76320757. The next prime is 76320773. The reversal of 76320767 is 76702367.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76320767 - 2⁶ = 76320703 is a prime.

It is a super-3 number, since 3×76320767³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76320767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76320707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115484 + ... + 116142.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2^76320767 is an apocalyptic number.

76320767 is a deficient number, since it is larger than the sum of its proper divisors (661633).

76320767 is a wasteful number, since it uses less digits than its factorization.

76320767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485.

The product of its (nonzero) digits is 74088, while the sum is 38.

The square root of 76320767 is about 8736.1757651732. The cubic root of 76320767 is about 424.1774484946.

The spelling of 76320767 in words is "seventy-six million, three hundred twenty thousand, seven hundred sixty-seven".