768040000 has 280 divisors, whose sum is σ = 2355096128. Its totient is φ = 241920000.

The previous prime is 768039977. The next prime is 768040001. The reversal of 768040000 is 40867.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (768040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3639895 + ... + 3640105.

Almost surely, 2^768040000 is an apocalyptic number.

768040000 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 768040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177548064).

768040000 is an abundant number, since it is smaller than the sum of its proper divisors (1587056128).

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

768040000 is a wasteful number, since it uses less digits than its factorization.

768040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 768040000 is about 27713.5345995418. The cubic root of 768040000 is about 915.7872925756.

Adding to 768040000 its reverse (40867), we get a palindrome (768080867).

The spelling of 768040000 in words is "seven hundred sixty-eight million, forty thousand".