10772760 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2842496.

The previous prime is 10772737. The next prime is 10772767. The reversal of 10772760 is 6727701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12421 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^10772760 is an apocalyptic number.

10772760 is a gapful number since it is divisible by the number (10) 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 10772760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10772760 is an abundant number, since it is smaller than the sum of its proper divisors (21886440).

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

10772760 is a wasteful number, since it uses less digits than its factorization.

10772760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 10772760 is about 3282.1882944158. The cubic root of 10772760 is about 220.8558945345.

The spelling of 10772760 in words is "ten million, seven hundred seventy-two thousand, seven hundred sixty".