742801104 has 100 divisors (see below), whose sum is σ = 2162961636. Its totient is φ = 246094848.

The previous prime is 742801079. The next prime is 742801109. The reversal of 742801104 is 401108247.

It can be written as a sum of positive squares in 2 ways, for example, as 681210000 + 61591104 = 26100^2 + 7848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742801109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222552 + ... + 225864.

Almost surely, 2^742801104 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 742801104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081480818).

742801104 is an abundant number, since it is smaller than the sum of its proper divisors (1420160532).

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

742801104 is a wasteful number, since it uses less digits than its factorization.

742801104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 742801104 is about 27254.3777034076. The cubic root of 742801104 is about 905.6439985470.

The spelling of 742801104 in words is "seven hundred forty-two million, eight hundred one thousand, one hundred four".