762490368 has 160 divisors (see below), whose sum is σ = 2376633600. Its totient is φ = 240703488.

The previous prime is 762490367. The next prime is 762490369. The reversal of 762490368 is 863094267.

It is an interprime number because it is at equal distance from previous prime (762490367) and next prime (762490369).

It is a super-2 number, since 2×762490368² = 1162783122585550848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (762490363) 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 15 ways as a sum of consecutive naturals, for example, 261205 + ... + 264107.

It is an arithmetic number, because the mean of its divisors is an integer number (14853960).

Almost surely, 2^762490368 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 762490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188316800).

762490368 is an abundant number, since it is smaller than the sum of its proper divisors (1614143232).

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

762490368 is a wasteful number, since it uses less digits than its factorization.

762490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 762490368 is about 27613.2281343562. The cubic root of 762490368 is about 913.5762215945.

The spelling of 762490368 in words is "seven hundred sixty-two million, four hundred ninety thousand, three hundred sixty-eight".