773990400 has 144 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 206356480.

The previous prime is 773990381. The next prime is 773990431. The reversal of 773990400 is 4099377.

It is a super-2 number, since 2×773990400² = 1198122278584320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151081 + ... + 156119.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^773990400 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 773990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

773990400 is an abundant number, since it is smaller than the sum of its proper divisors (1785220800).

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

773990400 is a wasteful number, since it uses less digits than its factorization.

773990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 773990400 is about 27820.6829535150. The cubic root of 773990400 is about 918.1462357398.

It can be divided in two parts, 773990 and 400, that added together give a triangular number (774390 = T₁₂₄₄).

The spelling of 773990400 in words is "seven hundred seventy-three million, nine hundred ninety thousand, four hundred".