746821152 has 432 divisors, whose sum is σ = 2863721952. Its totient is φ = 181923840.

The previous prime is 746821129. The next prime is 746821177. The reversal of 746821152 is 251128647.

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

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 71 ways as a sum of consecutive naturals, for example, 2638803 + ... + 2639085.

It is an arithmetic number, because the mean of its divisors is an integer number (6628986).

Almost surely, 2^746821152 is an apocalyptic number.

746821152 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 746821152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431860976).

746821152 is an abundant number, since it is smaller than the sum of its proper divisors (2116900800).

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

746821152 is a wasteful number, since it uses less digits than its factorization.

746821152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 746821152 is about 27328.0286885095. The cubic root of 746821152 is about 907.2748452196.

Adding to 746821152 its reverse (251128647), we get a palindrome (997949799).

The spelling of 746821152 in words is "seven hundred forty-six million, eight hundred twenty-one thousand, one hundred fifty-two".