762752952 has 96 divisors (see below), whose sum is σ = 2229645600. Its totient is φ = 234171648.

The previous prime is 762752917. The next prime is 762752953. The reversal of 762752952 is 259257267.

762752952 is a `hidden beast` number, since 76 + 2 + 7 + 529 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 762752898 and 762752907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (762752953) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 775453 + ... + 776435.

It is an arithmetic number, because the mean of its divisors is an integer number (23225475).

Almost surely, 2^762752952 is an apocalyptic number.

762752952 is a gapful number since it is divisible by the number (72) 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 762752952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114822800).

762752952 is an abundant number, since it is smaller than the sum of its proper divisors (1466892648).

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

762752952 is a wasteful number, since it uses less digits than its factorization.

762752952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 762752952 is about 27617.9824027752. The cubic root of 762752952 is about 913.6810810464.

The spelling of 762752952 in words is "seven hundred sixty-two million, seven hundred fifty-two thousand, nine hundred fifty-two".