742291776 has 210 divisors, whose sum is σ = 2288914650. Its totient is φ = 237841920.

The previous prime is 742291747. The next prime is 742291777. The reversal of 742291776 is 677192247.

It can be written as a sum of positive squares in only one way, i.e., 498182400 + 244109376 = 22320^2 + 15624^2 .

It is a super-3 number, since 3×742291776³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742291777) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4981750 + ... + 4981898.

Almost surely, 2^742291776 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 742291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144457325).

742291776 is an abundant number, since it is smaller than the sum of its proper divisors (1546622874).

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

742291776 is a wasteful number, since it uses less digits than its factorization.

742291776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 185 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 742291776 is about 27245.0321343176. The cubic root of 742291776 is about 905.4369555432.

The spelling of 742291776 in words is "seven hundred forty-two million, two hundred ninety-one thousand, seven hundred seventy-six".