768541200 has 120 divisors (see below), whose sum is σ = 2813623488. Its totient is φ = 175664640.

The previous prime is 768541199. The next prime is 768541201. The reversal of 768541200 is 2145867.

It is an interprime number because it is at equal distance from previous prime (768541199) and next prime (768541201).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (768541201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37347 + ... + 54146.

Almost surely, 2^768541200 is an apocalyptic number.

768541200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768541200 is an abundant number, since it is smaller than the sum of its proper divisors (2045082288).

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

768541200 is a wasteful number, since it uses less digits than its factorization.

768541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91521 (or 91510 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 768541200 is about 27722.5756379165. The cubic root of 768541200 is about 915.9864544185.

The spelling of 768541200 in words is "seven hundred sixty-eight million, five hundred forty-one thousand, two hundred".