10779972 has 48 divisors (see below), whose sum is σ = 30441600. Its totient is φ = 2898432.

The previous prime is 10779961. The next prime is 10779997. The reversal of 10779972 is 27997701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2347 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (634200).

Almost surely, 2^10779972 is an apocalyptic number.

10779972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10779972 is an abundant number, since it is smaller than the sum of its proper divisors (19661628).

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

10779972 is a wasteful number, since it uses less digits than its factorization.

10779972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 42.

The square root of 10779972 is about 3283.2867678593. The cubic root of 10779972 is about 220.9051687347.

The spelling of 10779972 in words is "ten million, seven hundred seventy-nine thousand, nine hundred seventy-two".