761984 has 16 divisors (see below), whose sum is σ = 1518270. Its totient is φ = 380928.

The previous prime is 761983. The next prime is 761993. The reversal of 761984 is 489167.

It can be written as a sum of positive squares in only one way, i.e., 760384 + 1600 = 872^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 761984.

It is not an unprimeable number, because it can be changed into a prime (761983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2849 + ... + 3104.

2⁷⁶¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

761984 is a deficient number, since it is larger than the sum of its proper divisors (756286).

761984 is an equidigital number, since it uses as much as digits as its factorization.

761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5955 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 761984 is about 872.9169490851. The cubic root of 761984 is about 91.3373942227.

The spelling of 761984 in words is "seven hundred sixty-one thousand, nine hundred eighty-four".