768606720 has 480 divisors, whose sum is σ = 3079410048. Its totient is φ = 159645696.

The previous prime is 768606719. The next prime is 768606733. The reversal of 768606720 is 27606867.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26503666 + ... + 26503694.

Almost surely, 2^768606720 is an apocalyptic number.

768606720 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 768606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539705024).

768606720 is an abundant number, since it is smaller than the sum of its proper divisors (2310803328).

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

768606720 is a wasteful number, since it uses less digits than its factorization.

768606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 768606720 is about 27723.7573211136. The cubic root of 768606720 is about 916.0124837006.

The spelling of 768606720 in words is "seven hundred sixty-eight million, six hundred six thousand, seven hundred twenty".