768017520 has 120 divisors (see below), whose sum is σ = 2596932000. Its totient is φ = 203401728.

The previous prime is 768017447. The next prime is 768017521. The reversal of 768017520 is 25710867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×768017520² = 1179701822053900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768017521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103701 + ... + 110859.

It is an arithmetic number, because the mean of its divisors is an integer number (21641100).

Almost surely, 2^768017520 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 768017520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298466000).

768017520 is an abundant number, since it is smaller than the sum of its proper divisors (1828914480).

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

768017520 is a wasteful number, since it uses less digits than its factorization.

768017520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 768017520 is about 27713.1290185717. The cubic root of 768017520 is about 915.7783576680.

It can be divided in two parts, 7680 and 17520, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 768017520 in words is "seven hundred sixty-eight million, seventeen thousand, five hundred twenty".