746915840 has 192 divisors, whose sum is σ = 2063880000. Its totient is φ = 256573440.

The previous prime is 746915797. The next prime is 746915861. The reversal of 746915840 is 48519647.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 746915791 and 746915800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139986 + ... + 2140334.

It is an arithmetic number, because the mean of its divisors is an integer number (10749375).

Almost surely, 2^746915840 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 746915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940000).

746915840 is an abundant number, since it is smaller than the sum of its proper divisors (1316964160).

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

746915840 is a wasteful number, since it uses less digits than its factorization.

746915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 746915840 is about 27329.7610673785. The cubic root of 746915840 is about 907.3131874697.

The spelling of 746915840 in words is "seven hundred forty-six million, nine hundred fifteen thousand, eight hundred forty".