746085120 has 288 divisors, whose sum is σ = 2754984960. Its totient is φ = 170065920.

The previous prime is 746085089. The next prime is 746085139. The reversal of 746085120 is 21580647.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717561 + ... + 718599.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2^746085120 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 746085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

746085120 is an abundant number, since it is smaller than the sum of its proper divisors (2008899840).

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

746085120 is a wasteful number, since it uses less digits than its factorization.

746085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 746085120 is about 27314.5587553598. The cubic root of 746085120 is about 906.9766913640.

The spelling of 746085120 in words is "seven hundred forty-six million, eighty-five thousand, one hundred twenty".