746465760 has 192 divisors, whose sum is σ = 2652652800. Its totient is φ = 196010496.

The previous prime is 746465743. The next prime is 746465761. The reversal of 746465760 is 67564647.

It is a happy number.

746465760 is a `hidden beast` number, since 74 + 6 + 4 + 6 + 576 + 0 = 666.

746465760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×746465760² = 1114422261704755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746465761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288151 + ... + 290729.

It is an arithmetic number, because the mean of its divisors is an integer number (13815900).

Almost surely, 2^746465760 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 746465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326326400).

746465760 is an abundant number, since it is smaller than the sum of its proper divisors (1906187040).

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

746465760 is a wasteful number, since it uses less digits than its factorization.

746465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 746465760 is about 27321.5255796597. The cubic root of 746465760 is about 907.1309065265.

The spelling of 746465760 in words is "seven hundred forty-six million, four hundred sixty-five thousand, seven hundred sixty".