768536832 has 144 divisors (see below), whose sum is σ = 2378234880. Its totient is φ = 215771136.

The previous prime is 768536831. The next prime is 768536837. The reversal of 768536832 is 238635867.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (768536831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315973 + ... + 318395.

It is an arithmetic number, because the mean of its divisors is an integer number (16515520).

Almost surely, 2^768536832 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 768536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189117440).

768536832 is an abundant number, since it is smaller than the sum of its proper divisors (1609698048).

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

768536832 is a wasteful number, since it uses less digits than its factorization.

768536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2494 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 768536832 is about 27722.4968572457. The cubic root of 768536832 is about 915.9847190805.

The spelling of 768536832 in words is "seven hundred sixty-eight million, five hundred thirty-six thousand, eight hundred thirty-two".