770880 has 112 divisors (see below), whose sum is σ = 2706624. Its totient is φ = 184320.

The previous prime is 770873. The next prime is 770881. The reversal of 770880 is 88077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770881) by changing a digit.

770880 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, 10524 + ... + 10596.

2⁷⁷⁰⁸⁸⁰ 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 770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353312).

770880 is an abundant number, since it is smaller than the sum of its proper divisors (1935744).

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

770880 is a wasteful number, since it uses less digits than its factorization.

770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 770880 is about 877.9977220927. The cubic root of 770880 is about 91.6914680366.

The spelling of 770880 in words is "seven hundred seventy thousand, eight hundred eighty".