400776 has 16 divisors (see below), whose sum is σ = 1002000. Its totient is φ = 133584.

The previous prime is 400759. The next prime is 400823. The reversal of 400776 is 677004.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 16699 = 400776 / (4 + 0 + 0 + 7 + 7 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8326 + ... + 8373.

It is an arithmetic number, because the mean of its divisors is an integer number (62625).

2⁴⁰⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

400776 is an abundant number, since it is smaller than the sum of its proper divisors (601224).

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

400776 is a wasteful number, since it uses less digits than its factorization.

400776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16704 counting only the distinct ones).

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

The square root of 400776 is about 633.0687166493. The cubic root of 400776 is about 73.7282460018.

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

The spelling of 400776 in words is "four hundred thousand, seven hundred seventy-six".