768708720 has 240 divisors, whose sum is σ = 2944311552. Its totient is φ = 178053120.

The previous prime is 768708701. The next prime is 768708749. The reversal of 768708720 is 27807867.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156705 + ... + 161535.

Almost surely, 2^768708720 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 768708720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472155776).

768708720 is an abundant number, since it is smaller than the sum of its proper divisors (2175602832).

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

768708720 is a wasteful number, since it uses less digits than its factorization.

768708720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 768708720 is about 27725.5968375795. The cubic root of 768708720 is about 916.0530025330.

The spelling of 768708720 in words is "seven hundred sixty-eight million, seven hundred eight thousand, seven hundred twenty".