770400 has 108 divisors (see below), whose sum is σ = 2742012. Its totient is φ = 203520.

The previous prime is 770387. The next prime is 770401. The reversal of 770400 is 4077.

It is a hoax number, since the sum of its digits (18) 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 (18).

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 770400.

It is not an unprimeable number, because it can be changed into a prime (770401) by changing a digit.

770400 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 17 ways as a sum of consecutive naturals, for example, 7147 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁷⁷⁰⁴⁰⁰ 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 770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371006).

770400 is an abundant number, since it is smaller than the sum of its proper divisors (1971612).

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

770400 is a wasteful number, since it uses less digits than its factorization.

770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 770400 is about 877.7243302997. The cubic root of 770400 is about 91.6724330624.

Adding to 770400 its reverse (4077), we get a palindrome (774477).

It can be divided in two parts, 7 and 70400, that added together give a palindrome (70407).

The spelling of 770400 in words is "seven hundred seventy thousand, four hundred", and thus it is an iban number.