754123968 has 252 divisors, whose sum is σ = 2397727488. Its totient is φ = 226437120.

The previous prime is 754123939. The next prime is 754124009. The reversal of 754123968 is 869321457.

It is a super-2 number, since 2×754123968² = 1137405918224130048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5937921 + ... + 5938047.

Almost surely, 2^754123968 is an apocalyptic number.

754123968 is a gapful number since it is divisible by the number (78) 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 754123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198863744).

754123968 is an abundant number, since it is smaller than the sum of its proper divisors (1643603520).

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

754123968 is a wasteful number, since it uses less digits than its factorization.

754123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 754123968 is about 27461.3176668564. The cubic root of 754123968 is about 910.2225306121. Note that the first 3 decimals are identical.

The spelling of 754123968 in words is "seven hundred fifty-four million, one hundred twenty-three thousand, nine hundred sixty-eight".