768859020 has 144 divisors (see below), whose sum is σ = 2478796320. Its totient is φ = 197842176.

The previous prime is 768858989. The next prime is 768859033. The reversal of 768859020 is 20958867.

It is a super-2 number, since 2×768859020² = 1182288385270720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453294 + ... + 454986.

Almost surely, 2^768859020 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 768859020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239398160).

768859020 is an abundant number, since it is smaller than the sum of its proper divisors (1709937300).

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

768859020 is a wasteful number, since it uses less digits than its factorization.

768859020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 768859020 is about 27728.3071967980. The cubic root of 768859020 is about 916.1127016927.

It can be divided in two parts, 76885 and 9020, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 768859020 in words is "seven hundred sixty-eight million, eight hundred fifty-nine thousand, twenty".