768167120 has 120 divisors (see below), whose sum is σ = 2095294464. Its totient is φ = 261128448.

The previous prime is 768167069. The next prime is 768167123. The reversal of 768167120 is 21761867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768167123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497069 + ... + 498611.

Almost surely, 2^768167120 is an apocalyptic number.

768167120 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 768167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047647232).

768167120 is an abundant number, since it is smaller than the sum of its proper divisors (1327127344).

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

768167120 is a wasteful number, since it uses less digits than its factorization.

768167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 768167120 is about 27715.8279688701. The cubic root of 768167120 is about 915.8378144488.

The spelling of 768167120 in words is "seven hundred sixty-eight million, one hundred sixty-seven thousand, one hundred twenty".