776400 has 60 divisors (see below), whose sum is σ = 2490912. Its totient is φ = 206720.

The previous prime is 776389. The next prime is 776401. The reversal of 776400 is 4677.

776400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776401) by changing a digit.

776400 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 11 ways as a sum of consecutive naturals, for example, 877 + ... + 1523.

2⁷⁷⁶⁴⁰⁰ 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 776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245456).

776400 is an abundant number, since it is smaller than the sum of its proper divisors (1714512).

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

776400 is a wasteful number, since it uses less digits than its factorization.

776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

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

The square root of 776400 is about 881.1356308764. The cubic root of 776400 is about 91.9098044821.

It can be divided in two parts, 776 and 400, that added together give a triangular number (1176 = T₄₈).

The spelling of 776400 in words is "seven hundred seventy-six thousand, four hundred".