760463640 has 128 divisors (see below), whose sum is σ = 2566468800. Its totient is φ = 202766976.

The previous prime is 760463629. The next prime is 760463647. The reversal of 760463640 is 46364067.

760463640 is a `hidden beast` number, since 7 + 6 + 0 + 4 + 6 + 3 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 760463595 and 760463604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760463647) 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 31 ways as a sum of consecutive naturals, for example, 83134 + ... + 91826.

Almost surely, 2^760463640 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 760463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283234400).

760463640 is an abundant number, since it is smaller than the sum of its proper divisors (1806005160).

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

760463640 is an equidigital number, since it uses as much as digits as its factorization.

760463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 760463640 is about 27576.5052173041. The cubic root of 760463640 is about 912.7660634042.

The spelling of 760463640 in words is "seven hundred sixty million, four hundred sixty-three thousand, six hundred forty".