767421864 has 320 divisors, whose sum is σ = 2542510080. Its totient is φ = 213840000.

The previous prime is 767421859. The next prime is 767421881. The reversal of 767421864 is 468124767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5082189 + ... + 5082339.

It is an arithmetic number, because the mean of its divisors is an integer number (7945344).

Almost surely, 2^767421864 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 767421864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271255040).

767421864 is an abundant number, since it is smaller than the sum of its proper divisors (1775088216).

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

767421864 is a wasteful number, since it uses less digits than its factorization.

767421864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 767421864 is about 27702.3801143512. The cubic root of 767421864 is about 915.5415445126.

It can be divided in two parts, 76742 and 1864, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 767421864 in words is "seven hundred sixty-seven million, four hundred twenty-one thousand, eight hundred sixty-four".