763746240 has 112 divisors (see below), whose sum is σ = 2476634112. Its totient is φ = 199320576.

The previous prime is 763746239. The next prime is 763746241. The reversal of 763746240 is 42647367.

763746240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (763746239) and next prime (763746241).

It is a super-2 number, since 2×763746240² = 1166616638228275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763746241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36657 + ... + 53583.

Almost surely, 2^763746240 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 763746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238317056).

763746240 is an abundant number, since it is smaller than the sum of its proper divisors (1712887872).

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

763746240 is a wasteful number, since it uses less digits than its factorization.

763746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 763746240 is about 27635.9591836433. The cubic root of 763746240 is about 914.0775199314.

The spelling of 763746240 in words is "seven hundred sixty-three million, seven hundred forty-six thousand, two hundred forty".