746338320 has 320 divisors, whose sum is σ = 3164797440. Its totient is φ = 157427712.

The previous prime is 746338283. The next prime is 746338337. The reversal of 746338320 is 23833647.

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 63 ways as a sum of consecutive naturals, for example, 194662 + ... + 198458.

It is an arithmetic number, because the mean of its divisors is an integer number (9889992).

Almost surely, 2^746338320 is an apocalyptic number.

746338320 is a gapful number since it is divisible by the number (70) 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 746338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582398720).

746338320 is an abundant number, since it is smaller than the sum of its proper divisors (2418459120).

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

746338320 is a wasteful number, since it uses less digits than its factorization.

746338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 746338320 is about 27319.1932530959. The cubic root of 746338320 is about 907.0792804290.

The spelling of 746338320 in words is "seven hundred forty-six million, three hundred thirty-eight thousand, three hundred twenty".