742780108800 has 1020 divisors, whose sum is σ = 2861387408220. Its totient is φ = 190253629440.

The previous prime is 742780108753. The next prime is 742780108813. The reversal of 742780108800 is 8801087247.

It can be written as a sum of positive squares in 6 ways, for example, as 50982027264 + 691798081536 = 225792^2 + 831744^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3848601504 + ... + 3848601696.

Almost surely, 2^742780108800 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 742780108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430693704110).

742780108800 is an abundant number, since it is smaller than the sum of its proper divisors (2118607299420).

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

742780108800 is an equidigital number, since it uses as much as digits as its factorization.

742780108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 742780108800 in words is "seven hundred forty-two billion, seven hundred eighty million, one hundred eight thousand, eight hundred".