767223240 has 128 divisors (see below), whose sum is σ = 2636064000. Its totient is φ = 174993408.

The previous prime is 767223229. The next prime is 767223241. The reversal of 767223240 is 42322767.

It is not an unprimeable number, because it can be changed into a prime (767223241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678996 + ... + 680124.

It is an arithmetic number, because the mean of its divisors is an integer number (20594250).

Almost surely, 2^767223240 is an apocalyptic number.

767223240 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 767223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318032000).

767223240 is an abundant number, since it is smaller than the sum of its proper divisors (1868840760).

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

767223240 is a wasteful number, since it uses less digits than its factorization.

767223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 767223240 is about 27698.7949196350. The cubic root of 767223240 is about 915.4625509268.

The spelling of 767223240 in words is "seven hundred sixty-seven million, two hundred twenty-three thousand, two hundred forty".