742560000 has 720 divisors, whose sum is σ = 3218269824. Its totient is φ = 147456000.

The previous prime is 742559963. The next prime is 742560001. The reversal of 742560000 is 65247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1700 × 260 × 1680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742560001) 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, 43679992 + ... + 43680008.

Almost surely, 2^742560000 is an apocalyptic number.

742560000 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 742560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609134912).

742560000 is an abundant number, since it is smaller than the sum of its proper divisors (2475709824).

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

742560000 is a wasteful number, since it uses less digits than its factorization.

742560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 742560000 is about 27249.9541284018. The cubic root of 742560000 is about 905.5460010172.

The spelling of 742560000 in words is "seven hundred forty-two million, five hundred sixty thousand".