764267616 has 192 divisors, whose sum is σ = 2573544960. Its totient is φ = 216138240.

The previous prime is 764267573. The next prime is 764267617. The reversal of 764267616 is 616762467.

It is a happy number.

764267616 is a `hidden beast` number, since 7 + 6 + 4 + 26 + 7 + 616 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764267617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646546 + ... + 647726.

It is an arithmetic number, because the mean of its divisors is an integer number (13403880).

Almost surely, 2^764267616 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 764267616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286772480).

764267616 is an abundant number, since it is smaller than the sum of its proper divisors (1809277344).

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

764267616 is a wasteful number, since it uses less digits than its factorization.

764267616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 764267616 is about 27645.3905018540. The cubic root of 764267616 is about 914.2854728050.

The spelling of 764267616 in words is "seven hundred sixty-four million, two hundred sixty-seven thousand, six hundred sixteen".