742771120 has 160 divisors (see below), whose sum is σ = 2139113088. Its totient is φ = 233570304.

The previous prime is 742771111. The next prime is 742771181. The reversal of 742771120 is 21177247.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870762 + ... + 1871158.

Almost surely, 2^742771120 is an apocalyptic number.

742771120 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 742771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069556544).

742771120 is an abundant number, since it is smaller than the sum of its proper divisors (1396341968).

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

742771120 is a wasteful number, since it uses less digits than its factorization.

742771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 742771120 is about 27253.8276210884. The cubic root of 742771120 is about 905.6318126043.

The spelling of 742771120 in words is "seven hundred forty-two million, seven hundred seventy-one thousand, one hundred twenty".