754741680 has 160 divisors (see below), whose sum is σ = 2917099008. Its totient is φ = 156825600.

The previous prime is 754741679. The next prime is 754741681. The reversal of 754741680 is 86147457.

754741680 = 4841² + 4842² + ... + 4872².

It is an interprime number because it is at equal distance from previous prime (754741679) and next prime (754741681).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (754741681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1941 + ... + 38900.

Almost surely, 2^754741680 is an apocalyptic number.

754741680 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 754741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458549504).

754741680 is an abundant number, since it is smaller than the sum of its proper divisors (2162357328).

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

754741680 is a wasteful number, since it uses less digits than its factorization.

754741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40875 (or 40869 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 754741680 is about 27472.5623122416. The cubic root of 754741680 is about 910.4709875223.

The spelling of 754741680 in words is "seven hundred fifty-four million, seven hundred forty-one thousand, six hundred eighty".