768480033 has 8 divisors (see below), whose sum is σ = 1046441088. Its totient is φ = 501419504.

The previous prime is 768480029. The next prime is 768480101. The reversal of 768480033 is 330084867.

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 768480033 - 2² = 768480029 is a prime.

It is a super-3 number, since 3×768480033³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 768479973 and 768480000.

It is not an unprimeable number, because it can be changed into a prime (768485033) 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, 2724966 + ... + 2725247.

It is an arithmetic number, because the mean of its divisors is an integer number (130805136).

Almost surely, 2^768480033 is an apocalyptic number.

It is an amenable number.

768480033 is a deficient number, since it is larger than the sum of its proper divisors (277961055).

768480033 is a wasteful number, since it uses less digits than its factorization.

768480033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450263.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 768480033 is about 27721.4724176044. The cubic root of 768480033 is about 915.9621531276.

The spelling of 768480033 in words is "seven hundred sixty-eight million, four hundred eighty thousand, thirty-three".