76800919 has 8 divisors (see below), whose sum is σ = 85377152. Its totient is φ = 68605920.

The previous prime is 76800853. The next prime is 76800923. The reversal of 76800919 is 91900867.

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 76800919 - 2⁷ = 76800791 is a prime.

It is a super-2 number, since 2×76800919² = 11796762318489122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76800019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94884 + ... + 95689.

It is an arithmetic number, because the mean of its divisors is an integer number (10672144).

Almost surely, 2^76800919 is an apocalyptic number.

76800919 is a deficient number, since it is larger than the sum of its proper divisors (8576233).

76800919 is a wasteful number, since it uses less digits than its factorization.

76800919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190617.

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 76800919 is about 8763.6133529498. The cubic root of 76800919 is about 425.0651231233.

The spelling of 76800919 in words is "seventy-six million, eight hundred thousand, nine hundred nineteen".