768085500 has 384 divisors, whose sum is σ = 2923554816. Its totient is φ = 152064000.

The previous prime is 768085463. The next prime is 768085501. The reversal of 768085500 is 5580867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768085501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2320335 + ... + 2320665.

It is an arithmetic number, because the mean of its divisors is an integer number (7613424).

Almost surely, 2^768085500 is an apocalyptic number.

768085500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768085500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461777408).

768085500 is an abundant number, since it is smaller than the sum of its proper divisors (2155469316).

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

768085500 is a wasteful number, since it uses less digits than its factorization.

768085500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 768085500 is about 27714.3554859210. The cubic root of 768085500 is about 915.8053764857.

The spelling of 768085500 in words is "seven hundred sixty-eight million, eighty-five thousand, five hundred".