746115840 has 144 divisors (see below), whose sum is σ = 2647797600. Its totient is φ = 198955008.

The previous prime is 746115817. The next prime is 746115869. The reversal of 746115840 is 48511647.

It is a happy number.

746115840 is a `hidden beast` number, since 7 + 461 + 158 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 746115795 and 746115804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23766 + ... + 45354.

Almost surely, 2^746115840 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 746115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323898800).

746115840 is an abundant number, since it is smaller than the sum of its proper divisors (1901681760).

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

746115840 is a wasteful number, since it uses less digits than its factorization.

746115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21619 (or 21599 counting only the distinct ones).

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

The square root of 746115840 is about 27315.1210870463. The cubic root of 746115840 is about 906.9891394260.

The spelling of 746115840 in words is "seven hundred forty-six million, one hundred fifteen thousand, eight hundred forty".