745442880 has 672 divisors, whose sum is σ = 3152265984. Its totient is φ = 147603456.

The previous prime is 745442851. The next prime is 745442891. The reversal of 745442880 is 88244547.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14064934 + ... + 14064986.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2^745442880 is an apocalyptic number.

745442880 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 745442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576132992).

745442880 is an abundant number, since it is smaller than the sum of its proper divisors (2406823104).

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

745442880 is a wasteful number, since it uses less digits than its factorization.

745442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 745442880 is about 27302.7998564250. The cubic root of 745442880 is about 906.7163707853.

The spelling of 745442880 in words is "seven hundred forty-five million, four hundred forty-two thousand, eight hundred eighty".