773276400 has 540 divisors, whose sum is σ = 3072678336. Its totient is φ = 179712000.

The previous prime is 773276303. The next prime is 773276453. The reversal of 773276400 is 4672377.

773276400 is a `hidden beast` number, since 7 + 7 + 3 + 2 + 7 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18860380 + ... + 18860420.

Almost surely, 2^773276400 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 773276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536339168).

773276400 is an abundant number, since it is smaller than the sum of its proper divisors (2299401936).

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

773276400 is a wasteful number, since it uses less digits than its factorization.

773276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 773276400 is about 27807.8478131624. The cubic root of 773276400 is about 917.8638213423.

The spelling of 773276400 in words is "seven hundred seventy-three million, two hundred seventy-six thousand, four hundred".