754790400 has 780 divisors, whose sum is σ = 3441137392. Its totient is φ = 159252480.

The previous prime is 754790389. The next prime is 754790461. The reversal of 754790400 is 4097457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (780).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58060794 + ... + 58060806.

Almost surely, 2^754790400 is an apocalyptic number.

754790400 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 754790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720568696).

754790400 is an abundant number, since it is smaller than the sum of its proper divisors (2686346992).

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

754790400 is a wasteful number, since it uses less digits than its factorization.

754790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 754790400 is about 27473.4490008080. The cubic root of 754790400 is about 910.4905779744.

The spelling of 754790400 in words is "seven hundred fifty-four million, seven hundred ninety thousand, four hundred".