768012672 has 224 divisors, whose sum is σ = 2520038520. Its totient is φ = 206524416.

The previous prime is 768012667. The next prime is 768012673. The reversal of 768012672 is 276210867.

It is a tau number, because it is divible by the number of its divisors (224).

768012672 is a modest number, since divided by 12672 gives 768 as remainder.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 768012672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768012673) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45177208 + ... + 45177224.

Almost surely, 2^768012672 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 768012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260019260).

768012672 is an abundant number, since it is smaller than the sum of its proper divisors (1752025848).

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

768012672 is an frugal number, since it uses more digits than its factorization.

768012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 768012672 is about 27713.0415508655. The cubic root of 768012672 is about 915.7764307576.

The spelling of 768012672 in words is "seven hundred sixty-eight million, twelve thousand, six hundred seventy-two".