745726080 has 512 divisors, whose sum is σ = 2876497920. Its totient is φ = 162201600.

The previous prime is 745726073. The next prime is 745726087. The reversal of 745726080 is 80627547.

It is an interprime number because it is at equal distance from previous prime (745726073) and next prime (745726087).

It is a super-2 number, since 2×745726080² = 1112214772784332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (745726087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11130207 + ... + 11130273.

It is an arithmetic number, because the mean of its divisors is an integer number (5618160).

Almost surely, 2^745726080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438248960).

745726080 is an abundant number, since it is smaller than the sum of its proper divisors (2130771840).

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

745726080 is a wasteful number, since it uses less digits than its factorization.

745726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 745726080 is about 27307.9856452284. The cubic root of 745726080 is about 906.8311792981.

The spelling of 745726080 in words is "seven hundred forty-five million, seven hundred twenty-six thousand, eighty".