768100000 has 72 divisors (see below), whose sum is σ = 1890371196. Its totient is φ = 307200000.

The previous prime is 768099979. The next prime is 768100007. The reversal of 768100000 is 1867.

It can be written as a sum of positive squares in 6 ways, for example, as 47499664 + 720600336 = 6892^2 + 26844^2 .

It is a super-2 number, since 2×768100000² = 1179955220000000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96160 + ... + 103840.

Almost surely, 2^768100000 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 768100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945185598).

768100000 is an abundant number, since it is smaller than the sum of its proper divisors (1122271196).

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

768100000 is an frugal number, since it uses more digits than its factorization.

768100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 768100000 is about 27714.6170819660. The cubic root of 768100000 is about 915.8111393400.

Adding to 768100000 its reverse (1867), we get a palindrome (768101867).

The spelling of 768100000 in words is "seven hundred sixty-eight million, one hundred thousand".