738777312 has 216 divisors, whose sum is σ = 2632547736. Its totient is φ = 194793984.

The previous prime is 738777307. The next prime is 738777331. The reversal of 738777312 is 213777837.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181443 + ... + 185469.

It is an arithmetic number, because the mean of its divisors is an integer number (12187721).

Almost surely, 2^738777312 is an apocalyptic number.

738777312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316273868).

738777312 is an abundant number, since it is smaller than the sum of its proper divisors (1893770424).

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

738777312 is a wasteful number, since it uses less digits than its factorization.

738777312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4052 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 738777312 is about 27180.4582742823. The cubic root of 738777312 is about 904.0057299869.

The spelling of 738777312 in words is "seven hundred thirty-eight million, seven hundred seventy-seven thousand, three hundred twelve".