754416864 has 72 divisors (see below), whose sum is σ = 2151840600. Its totient is φ = 250714368.

The previous prime is 754416863. The next prime is 754416877. The reversal of 754416864 is 468614457.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (754416863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96162 + ... + 103710.

It is an arithmetic number, because the mean of its divisors is an integer number (29886675).

Almost surely, 2^754416864 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 754416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075920300).

754416864 is an abundant number, since it is smaller than the sum of its proper divisors (1397423736).

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

754416864 is a wasteful number, since it uses less digits than its factorization.

754416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7901 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 754416864 is about 27466.6500323574. The cubic root of 754416864 is about 910.3403565231.

The spelling of 754416864 in words is "seven hundred fifty-four million, four hundred sixteen thousand, eight hundred sixty-four".