768421080 has 320 divisors, whose sum is σ = 3126911040. Its totient is φ = 165224448.

The previous prime is 768421061. The next prime is 768421117. The reversal of 768421080 is 80124867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384564 + ... + 386556.

It is an arithmetic number, because the mean of its divisors is an integer number (9771597).

Almost surely, 2^768421080 is an apocalyptic number.

768421080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768421080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563455520).

768421080 is an abundant number, since it is smaller than the sum of its proper divisors (2358489960).

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

768421080 is a wasteful number, since it uses less digits than its factorization.

768421080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 768421080 is about 27720.4090878905. The cubic root of 768421080 is about 915.9387302255.

The spelling of 768421080 in words is "seven hundred sixty-eight million, four hundred twenty-one thousand, eighty".