767988 has 48 divisors (see below), whose sum is σ = 2148160. Its totient is φ = 235872.

The previous prime is 767957. The next prime is 768013. The reversal of 767988 is 889767.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 767988.

It is an unprimeable number.

767988 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 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 1677.

2⁷⁶⁷⁹⁸⁸ is an apocalyptic number.

767988 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 767988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074080).

767988 is an abundant number, since it is smaller than the sum of its proper divisors (1380172).

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

767988 is a wasteful number, since it uses less digits than its factorization.

767988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 767988 is about 876.3492454496. The cubic root of 767988 is about 91.5766624375.

The spelling of 767988 in words is "seven hundred sixty-seven thousand, nine hundred eighty-eight".