768012840 has 160 divisors (see below), whose sum is σ = 2950231680. Its totient is φ = 175540608.

The previous prime is 768012823. The next prime is 768012857. The reversal of 768012840 is 48210867.

768012840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768012823) and next prime (768012857).

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

It is a junction number, because it is equal to n+sod(n) for n = 768012795 and 768012804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5749 + ... + 39611.

It is an arithmetic number, because the mean of its divisors is an integer number (18438948).

Almost surely, 2^768012840 is an apocalyptic number.

768012840 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 768012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475115840).

768012840 is an abundant number, since it is smaller than the sum of its proper divisors (2182218840).

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

768012840 is a wasteful number, since it uses less digits than its factorization.

768012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33893 (or 33880 counting only the distinct ones).

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

The square root of 768012840 is about 27713.0445819293. The cubic root of 768012840 is about 915.7764975319.

The spelling of 768012840 in words is "seven hundred sixty-eight million, twelve thousand, eight hundred forty".