767632240 has 40 divisors (see below), whose sum is σ = 1785979440. Its totient is φ = 306840576.

The previous prime is 767632237. The next prime is 767632241. The reversal of 767632240 is 42236767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 767632240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767632241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168067 + ... + 172573.

It is an arithmetic number, because the mean of its divisors is an integer number (44649486).

Almost surely, 2^767632240 is an apocalyptic number.

It is an amenable number.

767632240 is an abundant number, since it is smaller than the sum of its proper divisors (1018347200).

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

767632240 is a wasteful number, since it uses less digits than its factorization.

767632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 767632240 is about 27706.1769286201. The cubic root of 767632240 is about 915.6251970553.

It can be divided in two parts, 76763 and 2240, that added together give a triangular number (79003 = T₃₉₇).

The spelling of 767632240 in words is "seven hundred sixty-seven million, six hundred thirty-two thousand, two hundred forty".