768462200 has 96 divisors (see below), whose sum is σ = 2033976960. Its totient is φ = 267273600.

The previous prime is 768462199. The next prime is 768462229. The reversal of 768462200 is 2264867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43007 + ... + 58193.

It is an arithmetic number, because the mean of its divisors is an integer number (21187260).

Almost surely, 2^768462200 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 768462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016988480).

768462200 is an abundant number, since it is smaller than the sum of its proper divisors (1265514760).

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

768462200 is a wasteful number, since it uses less digits than its factorization.

768462200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15237 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 768462200 is about 27721.1507697642. The cubic root of 768462200 is about 915.9550679383.

The spelling of 768462200 in words is "seven hundred sixty-eight million, four hundred sixty-two thousand, two hundred".