746928900 has 81 divisors (see below), whose sum is σ = 2343779893. Its totient is φ = 198962400.

The previous prime is 746928859. The next prime is 746928907. The reversal of 746928900 is 9829647.

It is a happy number.

The square root of 746928900 is 27330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 268894404 + 478034496 = 16398^2 + 21864^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (746928907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 819445 + ... + 820355.

Almost surely, 2^746928900 is an apocalyptic number.

746928900 is the 27330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746928900

746928900 is an abundant number, since it is smaller than the sum of its proper divisors (1596850993).

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

746928900 is a wasteful number, since it uses less digits than its factorization.

746928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 746928900 is about 907.3184756340.

The spelling of 746928900 in words is "seven hundred forty-six million, nine hundred twenty-eight thousand, nine hundred".