10779720 has 128 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 2396160.

The previous prime is 10779673. The next prime is 10779731. The reversal of 10779720 is 2797701.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 34284 + ... + 34596.

It is an arithmetic number, because the mean of its divisors is an integer number (296730).

Almost surely, 2^10779720 is an apocalyptic number.

10779720 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 10779720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

10779720 is an abundant number, since it is smaller than the sum of its proper divisors (27201720).

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

10779720 is a wasteful number, since it uses less digits than its factorization.

10779720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 10779720 is about 3283.2483914562. The cubic root of 10779720 is about 220.9034473778.

The spelling of 10779720 in words is "ten million, seven hundred seventy-nine thousand, seven hundred twenty".