770640 has 120 divisors (see below), whose sum is σ = 2723040. Its totient is φ = 179712.

The previous prime is 770639. The next prime is 770641. The reversal of 770640 is 46077.

It is an interprime number because it is at equal distance from previous prime (770639) and next prime (770641).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 770640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40551 + ... + 40569.

It is an arithmetic number, because the mean of its divisors is an integer number (22692).

2⁷⁷⁰⁶⁴⁰ 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 770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361520).

770640 is an abundant number, since it is smaller than the sum of its proper divisors (1952400).

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

770640 is a wasteful number, since it uses less digits than its factorization.

770640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 770640 is about 877.8610368390. The cubic root of 770640 is about 91.6819515375.

The spelling of 770640 in words is "seven hundred seventy thousand, six hundred forty".