10778320 has 80 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 3497472.

The previous prime is 10778303. The next prime is 10778333. The reversal of 10778320 is 2387701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 10134 + ... + 11146.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^10778320 is an apocalyptic number.

10778320 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 10778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

10778320 is an abundant number, since it is smaller than the sum of its proper divisors (19398320).

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

10778320 is a wasteful number, since it uses less digits than its factorization.

10778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10778320 is about 3283.0351810482. The cubic root of 10778320 is about 220.8938837956.

The spelling of 10778320 in words is "ten million, seven hundred seventy-eight thousand, three hundred twenty".