773641440 has 648 divisors, whose sum is σ = 3312881208. Its totient is φ = 162938880.

The previous prime is 773641433. The next prime is 773641447. The reversal of 773641440 is 44146377.

It is a happy number.

773641440 is a `hidden beast` number, since 7 + 7 + 3 + 641 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (773641433) and next prime (773641447).

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

It is a junction number, because it is equal to n+sod(n) for n = 773641395 and 773641404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (773641447) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45508312 + ... + 45508328.

It is an arithmetic number, because the mean of its divisors is an integer number (5112471).

Almost surely, 2^773641440 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 773641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656440604).

773641440 is an abundant number, since it is smaller than the sum of its proper divisors (2539239768).

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

773641440 is a wasteful number, since it uses less digits than its factorization.

773641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 773641440 is about 27814.4106534724. The cubic root of 773641440 is about 918.0082303789.

The spelling of 773641440 in words is "seven hundred seventy-three million, six hundred forty-one thousand, four hundred forty".