768451872 has 96 divisors (see below), whose sum is σ = 2064303360. Its totient is φ = 250225920.

The previous prime is 768451847. The next prime is 768451891. The reversal of 768451872 is 278154867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194783 + ... + 1195425.

It is an arithmetic number, because the mean of its divisors is an integer number (21503160).

Almost surely, 2^768451872 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 768451872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032151680).

768451872 is an abundant number, since it is smaller than the sum of its proper divisors (1295851488).

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

768451872 is a wasteful number, since it uses less digits than its factorization.

768451872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 768451872 is about 27720.9644853854. The cubic root of 768451872 is about 915.9509644937.

The spelling of 768451872 in words is "seven hundred sixty-eight million, four hundred fifty-one thousand, eight hundred seventy-two".