672026880 has 288 divisors, whose sum is σ = 2561900544. Its totient is φ = 146792448.

The previous prime is 672026879. The next prime is 672026891. The reversal of 672026880 is 88620276.

It is a super-6 number, since 6×672026880⁶ (a number of 54 digits) contains 666666 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617697 + ... + 618783.

It is an arithmetic number, because the mean of its divisors is an integer number (8895488).

Almost surely, 2^672026880 is an apocalyptic number.

672026880 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 672026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280950272).

672026880 is an abundant number, since it is smaller than the sum of its proper divisors (1889873664).

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

672026880 is a wasteful number, since it uses less digits than its factorization.

672026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 672026880 is about 25923.4812477028. The cubic root of 672026880 is about 875.9155065396.

It can be divided in two parts, 6720 and 26880, that multiplied together give a square (180633600 = 13440²).

The spelling of 672026880 in words is "six hundred seventy-two million, twenty-six thousand, eight hundred eighty".