746551200 has 144 divisors (see below), whose sum is σ = 2443906080. Its totient is φ = 197944320.

The previous prime is 746551199. The next prime is 746551259. The reversal of 746551200 is 2155647.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472011 + ... + 473589.

It is an arithmetic number, because the mean of its divisors is an integer number (16971570).

Almost surely, 2^746551200 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 746551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221953040).

746551200 is an abundant number, since it is smaller than the sum of its proper divisors (1697354880).

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

746551200 is a wasteful number, since it uses less digits than its factorization.

746551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 746551200 is about 27323.0891372114. The cubic root of 746551200 is about 907.1655150832.

It can be divided in two parts, 74655 and 1200, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 746551200 in words is "seven hundred forty-six million, five hundred fifty-one thousand, two hundred".