747442080 has 720 divisors, whose sum is σ = 3378757536. Its totient is φ = 153861120.

The previous prime is 747442079. The next prime is 747442123. The reversal of 747442080 is 80244747.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 6985387 + ... + 6985493.

Almost surely, 2^747442080 is an apocalyptic number.

747442080 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 747442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689378768).

747442080 is an abundant number, since it is smaller than the sum of its proper divisors (2631315456).

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

747442080 is a wasteful number, since it uses less digits than its factorization.

747442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 747442080 is about 27339.3869719129. The cubic root of 747442080 is about 907.5262201290.

The spelling of 747442080 in words is "seven hundred forty-seven million, four hundred forty-two thousand, eighty".