672777540 has 144 divisors (see below), whose sum is σ = 2105865216. Its totient is φ = 173779200.

The previous prime is 672777503. The next prime is 672777541. The reversal of 672777540 is 45777276.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (672777541) 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 47 ways as a sum of consecutive naturals, for example, 779149 + ... + 780011.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^672777540 is an apocalyptic number.

672777540 is a gapful number since it is divisible by the number (60) 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 672777540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608).

672777540 is an abundant number, since it is smaller than the sum of its proper divisors (1433087676).

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

672777540 is a wasteful number, since it uses less digits than its factorization.

672777540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 672777540 is about 25937.9555863603. The cubic root of 672777540 is about 876.2415203191.

The spelling of 672777540 in words is "six hundred seventy-two million, seven hundred seventy-seven thousand, five hundred forty".