787680 has 72 divisors (see below), whose sum is σ = 2692872. Its totient is φ = 209664.

The previous prime is 787667. The next prime is 787697. The reversal of 787680 is 86787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (37401).

2⁷⁸⁷⁶⁸⁰ 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 787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346436).

787680 is an abundant number, since it is smaller than the sum of its proper divisors (1905192).

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

787680 is a wasteful number, since it uses less digits than its factorization.

787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 787680 is about 887.5133801808. The cubic root of 787680 is about 92.3527728521.

The spelling of 787680 in words is "seven hundred eighty-seven thousand, six hundred eighty".