761306744 has 64 divisors (see below), whose sum is σ = 1677456000. Its totient is φ = 320181120.

The previous prime is 761306743. The next prime is 761306747. The reversal of 761306744 is 447603167.

761306744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 761306698 and 761306707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761306743) 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, 66602 + ... + 77190.

It is an arithmetic number, because the mean of its divisors is an integer number (26210250).

Almost surely, 2^761306744 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 761306744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838728000).

761306744 is an abundant number, since it is smaller than the sum of its proper divisors (916149256).

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

761306744 is a wasteful number, since it uses less digits than its factorization.

761306744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 761306744 is about 27591.7876187825. The cubic root of 761306744 is about 913.1032579167.

The spelling of 761306744 in words is "seven hundred sixty-one million, three hundred six thousand, seven hundred forty-four".