746966880 has 288 divisors, whose sum is σ = 2875672800. Its totient is φ = 180956160.

The previous prime is 746966849. The next prime is 746966887. The reversal of 746966880 is 88669647.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746966887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522006 + ... + 523434.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2^746966880 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 746966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437836400).

746966880 is an abundant number, since it is smaller than the sum of its proper divisors (2128705920).

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

746966880 is a wasteful number, since it uses less digits than its factorization.

746966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 746966880 is about 27330.6948320016. The cubic root of 746966880 is about 907.3338538812. Note that the first 3 decimals are identical.

The spelling of 746966880 in words is "seven hundred forty-six million, nine hundred sixty-six thousand, eight hundred eighty".