768427200 has 504 divisors, whose sum is σ = 2999616048. Its totient is φ = 185794560.

The previous prime is 768427199. The next prime is 768427201. The reversal of 768427200 is 2724867.

It is an interprime number because it is at equal distance from previous prime (768427199) and next prime (768427201).

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

It is not an unprimeable number, because it can be changed into a prime (768427201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10526364 + ... + 10526436.

Almost surely, 2^768427200 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 768427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499808024).

768427200 is an abundant number, since it is smaller than the sum of its proper divisors (2231188848).

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

768427200 is a wasteful number, since it uses less digits than its factorization.

768427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 768427200 is about 27720.5194756520. The cubic root of 768427200 is about 915.9411618481.

The spelling of 768427200 in words is "seven hundred sixty-eight million, four hundred twenty-seven thousand, two hundred".