773838000 has 240 divisors, whose sum is σ = 2911542816. Its totient is φ = 190425600.

The previous prime is 773837993. The next prime is 773838053. The reversal of 773838000 is 838377.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232347 + ... + 235653.

Almost surely, 2^773838000 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 773838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455771408).

773838000 is an abundant number, since it is smaller than the sum of its proper divisors (2137704816).

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

773838000 is a wasteful number, since it uses less digits than its factorization.

773838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 773838000 is about 27817.9438492495. The cubic root of 773838000 is about 918.0859702761.

The spelling of 773838000 in words is "seven hundred seventy-three million, eight hundred thirty-eight thousand".