761888 has 24 divisors (see below), whose sum is σ = 1553580. Its totient is φ = 367360.

The previous prime is 761879. The next prime is 761897. The reversal of 761888 is 888167.

It is an interprime number because it is at equal distance from previous prime (761879) and next prime (761897).

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 8464 = 868^2 + 92^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 761888.

It is an unprimeable number.

761888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 1338.

2⁷⁶¹⁸⁸⁸ 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 761888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776790).

761888 is an abundant number, since it is smaller than the sum of its proper divisors (791692).

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

761888 is a wasteful number, since it uses less digits than its factorization.

761888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 761888 is about 872.8619593040. The cubic root of 761888 is about 91.3335582900. Note that the first 3 decimals are identical.

The spelling of 761888 in words is "seven hundred sixty-one thousand, eight hundred eighty-eight".