746544120 has 256 divisors, whose sum is σ = 2829219840. Its totient is φ = 153550848.

The previous prime is 746544091. The next prime is 746544157. The reversal of 746544120 is 21445647.

746544120 is a nontrivial binomial coefficient, being equal to C(38641, 2).

It is a zygodrome in base 13.

It is a congruent number.

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, 327304 + ... + 329576.

It is an arithmetic number, because the mean of its divisors is an integer number (11051640).

Almost surely, 2^746544120 is an apocalyptic number.

746544120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

746544120 is the 38640-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414609920).

746544120 is an abundant number, since it is smaller than the sum of its proper divisors (2082675720).

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

746544120 is a wasteful number, since it uses less digits than its factorization.

746544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 746544120 is about 27322.9595761513. The cubic root of 746544120 is about 907.1626473396.

Adding to 746544120 its reverse (21445647), we get a palindrome (767989767).

The spelling of 746544120 in words is "seven hundred forty-six million, five hundred forty-four thousand, one hundred twenty".