768275100 has 108 divisors (see below), whose sum is σ = 2421140176. Its totient is φ = 203765760.

The previous prime is 768275083. The next prime is 768275117. The reversal of 768275100 is 1572867.

It is an interprime number because it is at equal distance from previous prime (768275083) and next prime (768275117).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 171489 + ... + 175911.

Almost surely, 2^768275100 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 768275100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210570088).

768275100 is an abundant number, since it is smaller than the sum of its proper divisors (1652865076).

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

768275100 is a wasteful number, since it uses less digits than its factorization.

768275100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4626 counting only the distinct ones).

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

The square root of 768275100 is about 27717.7758848000. The cubic root of 768275100 is about 915.8807250478.

The spelling of 768275100 in words is "seven hundred sixty-eight million, two hundred seventy-five thousand, one hundred".