746928000 has 1024 divisors, whose sum is σ = 3564288000. Its totient is φ = 149299200.

The previous prime is 746927983. The next prime is 746928011. The reversal of 746928000 is 829647.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39311991 + ... + 39312009.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^746928000 is an apocalyptic number.

746928000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

746928000 is an abundant number, since it is smaller than the sum of its proper divisors (2817360000).

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

746928000 is a wasteful number, since it uses less digits than its factorization.

746928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 746928000 is about 27329.9835345724. The cubic root of 746928000 is about 907.3181112143.

The spelling of 746928000 in words is "seven hundred forty-six million, nine hundred twenty-eight thousand".