768162038400 has 576 divisors, whose sum is σ = 2774063073600. Its totient is φ = 202387046400.

The previous prime is 768162038363. The next prime is 768162038419. The reversal of 768162038400 is 4830261867.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 1244994892 + ... + 1244995508.

It is an arithmetic number, because the mean of its divisors is an integer number (4816081725).

Almost surely, 2^768162038400 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 768162038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387031536800).

768162038400 is an abundant number, since it is smaller than the sum of its proper divisors (2005901035200).

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

768162038400 is a wasteful number, since it uses less digits than its factorization.

768162038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 768162038400 in words is "seven hundred sixty-eight billion, one hundred sixty-two million, thirty-eight thousand, four hundred".