743250816 has 640 divisors, whose sum is σ = 2962080000. Its totient is φ = 182891520.

The previous prime is 743250811. The next prime is 743250839. The reversal of 743250816 is 618052347.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743250811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39118455 + ... + 39118473.

It is an arithmetic number, because the mean of its divisors is an integer number (4628250).

Almost surely, 2^743250816 is an apocalyptic number.

743250816 is a gapful number since it is divisible by the number (76) 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 743250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481040000).

743250816 is an abundant number, since it is smaller than the sum of its proper divisors (2218829184).

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

743250816 is a wasteful number, since it uses less digits than its factorization.

743250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 743250816 is about 27262.6267259778. The cubic root of 743250816 is about 905.8267288484.

The spelling of 743250816 in words is "seven hundred forty-three million, two hundred fifty thousand, eight hundred sixteen".