768152 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 282240.

The previous prime is 768139. The next prime is 768161. The reversal of 768152 is 251867.

768152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (3360) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17843 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁷⁶⁸¹⁵² 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 768152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

768152 is an abundant number, since it is smaller than the sum of its proper divisors (1132648).

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

768152 is a wasteful number, since it uses less digits than its factorization.

768152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 768152 is about 876.4428104560. The cubic root of 768152 is about 91.5831805531.

It can be divided in two parts, 76 and 8152, that added together give a palindrome (8228).

The spelling of 768152 in words is "seven hundred sixty-eight thousand, one hundred fifty-two".