787920 has 120 divisors (see below), whose sum is σ = 2883744. Its totient is φ = 177408.

The previous prime is 787907. The next prime is 787939. The reversal of 787920 is 29787.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

787920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11727 + ... + 11793.

2⁷⁸⁷⁹²⁰ is an apocalyptic number.

787920 is a gapful number since it is divisible by the number (70) 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 787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441872).

787920 is an abundant number, since it is smaller than the sum of its proper divisors (2095824).

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

787920 is a wasteful number, since it uses less digits than its factorization.

787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 787920 is about 887.6485791123. The cubic root of 787920 is about 92.3621516247.

The spelling of 787920 in words is "seven hundred eighty-seven thousand, nine hundred twenty".