768762213120 has 1080 divisors, whose sum is σ = 3048098141088. Its totient is φ = 184861163520.

The previous prime is 768762213113. The next prime is 768762213217. The reversal of 768762213120 is 21312267867.

768762213120 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 622 + 1 + 3 + 12 + 0 = 666.

768762213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2923050109 + ... + 2923050371.

Almost surely, 2^768762213120 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 768762213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524049070544).

768762213120 is an abundant number, since it is smaller than the sum of its proper divisors (2279335927968).

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

768762213120 is a wasteful number, since it uses less digits than its factorization.

768762213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 768762213120 in words is "seven hundred sixty-eight billion, seven hundred sixty-two million, two hundred thirteen thousand, one hundred twenty".