768963400 has 48 divisors (see below), whose sum is σ = 1794611700. Its totient is φ = 306420480.

The previous prime is 768963389. The next prime is 768963407. The reversal of 768963400 is 4369867.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 232324 + 768731076 = 482^2 + 27726^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (768963407) 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, 46654 + ... + 60946.

Almost surely, 2^768963400 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 768963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897305850).

768963400 is an abundant number, since it is smaller than the sum of its proper divisors (1025648300).

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

768963400 is a wasteful number, since it uses less digits than its factorization.

768963400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14578 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 768963400 is about 27730.1893249938. The cubic root of 768963400 is about 916.1541568509.

The spelling of 768963400 in words is "seven hundred sixty-eight million, nine hundred sixty-three thousand, four hundred".