742867776 has 168 divisors, whose sum is σ = 2561823680. Its totient is φ = 201056256.

The previous prime is 742867703. The next prime is 742867813. The reversal of 742867776 is 677768247.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71760 + ... + 81456.

Almost surely, 2^742867776 is an apocalyptic number.

742867776 is a gapful number since it is divisible by the number (76) 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 742867776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280911840).

742867776 is an abundant number, since it is smaller than the sum of its proper divisors (1818955904).

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

742867776 is a wasteful number, since it uses less digits than its factorization.

742867776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741 (or 9728 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 742867776 is about 27255.6008189143. The cubic root of 742867776 is about 905.6710938622.

The spelling of 742867776 in words is "seven hundred forty-two million, eight hundred sixty-seven thousand, seven hundred seventy-six".