6772500 has 180 divisors, whose sum is σ = 25016992. Its totient is φ = 1512000.

The previous prime is 6772483. The next prime is 6772537. The reversal of 6772500 is 52776.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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, 157479 + ... + 157521.

Almost surely, 2^6772500 is an apocalyptic number.

6772500 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 6772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508496).

6772500 is an abundant number, since it is smaller than the sum of its proper divisors (18244492).

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

6772500 is a wasteful number, since it uses less digits than its factorization.

6772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 6772500 is about 2602.4027359346. The cubic root of 6772500 is about 189.1979114383.

The spelling of 6772500 in words is "six million, seven hundred seventy-two thousand, five hundred".