745111920 has 160 divisors (see below), whose sum is σ = 2711397888. Its totient is φ = 165694464.

The previous prime is 745111909. The next prime is 745111937. The reversal of 745111920 is 29111547.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56167 + ... + 68153.

Almost surely, 2^745111920 is an apocalyptic number.

745111920 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 745111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355698944).

745111920 is an abundant number, since it is smaller than the sum of its proper divisors (1966285968).

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

745111920 is a wasteful number, since it uses less digits than its factorization.

745111920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12047 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 745111920 is about 27296.7382666867. The cubic root of 745111920 is about 906.5821636450.

It can be divided in two parts, 745111 and 920, that added together give a triangular number (746031 = T₁₂₂₁).

The spelling of 745111920 in words is "seven hundred forty-five million, one hundred eleven thousand, nine hundred twenty".