761289984 has 216 divisors, whose sum is σ = 2702266112. Its totient is φ = 200724480.

The previous prime is 761289983. The next prime is 761289989. The reversal of 761289984 is 489982167.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 761289984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761289983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 207849 + ... + 211479.

Almost surely, 2^761289984 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 761289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351133056).

761289984 is an abundant number, since it is smaller than the sum of its proper divisors (1940976128).

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

761289984 is a wasteful number, since it uses less digits than its factorization.

761289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3656 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 761289984 is about 27591.4839035526. The cubic root of 761289984 is about 913.0965572786.

The spelling of 761289984 in words is "seven hundred sixty-one million, two hundred eighty-nine thousand, nine hundred eighty-four".