768990600 has 144 divisors (see below), whose sum is σ = 2951507520. Its totient is φ = 175766400.

The previous prime is 768990559. The next prime is 768990613. The reversal of 768990600 is 6099867.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 17916 + ... + 43115.

It is an arithmetic number, because the mean of its divisors is an integer number (20496580).

Almost surely, 2^768990600 is an apocalyptic number.

768990600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768990600 is an abundant number, since it is smaller than the sum of its proper divisors (2182516920).

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

768990600 is a wasteful number, since it uses less digits than its factorization.

768990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61060 (or 61048 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 768990600 is about 27730.6797608714. The cubic root of 768990600 is about 916.1649588818.

It can be divided in two parts, 7689 and 90600, that added together give a palindrome (98289).

The spelling of 768990600 in words is "seven hundred sixty-eight million, nine hundred ninety thousand, six hundred".