776669400 has 144 divisors (see below), whose sum is σ = 2809038960. Its totient is φ = 191174400.

The previous prime is 776669393. The next prime is 776669419. The reversal of 776669400 is 4966677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6805 + ... + 39995.

It is an arithmetic number, because the mean of its divisors is an integer number (19507215).

Almost surely, 2^776669400 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 776669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404519480).

776669400 is an abundant number, since it is smaller than the sum of its proper divisors (2032369560).

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

776669400 is a wasteful number, since it uses less digits than its factorization.

776669400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33226 (or 33214 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 776669400 is about 27868.7889941418. The cubic root of 776669400 is about 919.2043372736.

The spelling of 776669400 in words is "seven hundred seventy-six million, six hundred sixty-nine thousand, four hundred".