743716080 has 240 divisors, whose sum is σ = 2633414784. Its totient is φ = 195022080.

The previous prime is 743716079. The next prime is 743716081. The reversal of 743716080 is 80617347.

743716080 is a `hidden beast` number, since 7 + 43 + 7 + 1 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (743716079) and next prime (743716081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×743716080² = 1106227215301132800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (743716081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302195 + ... + 1302765.

Almost surely, 2^743716080 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 743716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316707392).

743716080 is an abundant number, since it is smaller than the sum of its proper divisors (1889698704).

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

743716080 is a wasteful number, since it uses less digits than its factorization.

743716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 743716080 is about 27271.1583912382. The cubic root of 743716080 is about 906.0157007936.

The spelling of 743716080 in words is "seven hundred forty-three million, seven hundred sixteen thousand, eighty".