768363120 has 360 divisors, whose sum is σ = 3109354560. Its totient is φ = 169344000.

The previous prime is 768363107. The next prime is 768363133. The reversal of 768363120 is 21363867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768363107) and next prime (768363133).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×768363120² = 1180763768352268800, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1022745 + ... + 1023495.

It is an arithmetic number, because the mean of its divisors is an integer number (8637096).

Almost surely, 2^768363120 is an apocalyptic number.

768363120 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 768363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554677280).

768363120 is an abundant number, since it is smaller than the sum of its proper divisors (2340991440).

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

768363120 is a wasteful number, since it uses less digits than its factorization.

768363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 768363120 is about 27719.3636290590. The cubic root of 768363120 is about 915.9157006891.

The spelling of 768363120 in words is "seven hundred sixty-eight million, three hundred sixty-three thousand, one hundred twenty".