7770400 has 72 divisors (see below), whose sum is σ = 20717424. Its totient is φ = 2822400.

The previous prime is 7770391. The next prime is 7770403. The reversal of 7770400 is 40777.

7770400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7770403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8359 + ... + 9241.

It is an arithmetic number, because the mean of its divisors is an integer number (287742).

Almost surely, 2^7770400 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 7770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712).

7770400 is an abundant number, since it is smaller than the sum of its proper divisors (12947024).

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

7770400 is a wasteful number, since it uses less digits than its factorization.

7770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 7770400 is about 2787.5437216302. The cubic root of 7770400 is about 198.0680648895.

The spelling of 7770400 in words is "seven million, seven hundred seventy thousand, four hundred".