667077840 has 720 divisors, whose sum is σ = 2881482240. Its totient is φ = 136857600.

The previous prime is 667077833. The next prime is 667077857. The reversal of 667077840 is 48770766.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21518625 + ... + 21518655.

Almost surely, 2^667077840 is an apocalyptic number.

667077840 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 667077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440741120).

667077840 is an abundant number, since it is smaller than the sum of its proper divisors (2214404400).

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

667077840 is a wasteful number, since it uses less digits than its factorization.

667077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 667077840 is about 25827.8500847438. The cubic root of 667077840 is about 873.7600243221.

It can be divided in two parts, 66707 and 7840, that added together give a palindrome (74547).

The spelling of 667077840 in words is "six hundred sixty-seven million, seventy-seven thousand, eight hundred forty".