761612544 has 504 divisors, whose sum is σ = 2895383232. Its totient is φ = 194088960.

The previous prime is 761612531. The next prime is 761612567. The reversal of 761612544 is 445216167.

It is a tau number, because it is divible by the number of its divisors (504).

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

Its product of digits (40320) is a multiple of the sum of its prime factors (105).

It is a junction number, because it is equal to n+sod(n) for n = 761612499 and 761612508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14370022 + ... + 14370074.

It is an arithmetic number, because the mean of its divisors is an integer number (5744808).

Almost surely, 2^761612544 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 761612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447691616).

761612544 is an abundant number, since it is smaller than the sum of its proper divisors (2133770688).

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

761612544 is an equidigital number, since it uses as much as digits as its factorization.

761612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 761612544 is about 27597.3285663667. The cubic root of 761612544 is about 913.2254993130.

The spelling of 761612544 in words is "seven hundred sixty-one million, six hundred twelve thousand, five hundred forty-four".