10776480 has 192 divisors, whose sum is σ = 40134528. Its totient is φ = 2396160.

The previous prime is 10776463. The next prime is 10776523. The reversal of 10776480 is 8467701.

It is a super-2 number, since 2×10776480² = 232265042380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 68562 + ... + 68718.

It is an arithmetic number, because the mean of its divisors is an integer number (209034).

Almost surely, 2^10776480 is an apocalyptic number.

10776480 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 10776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067264).

10776480 is an abundant number, since it is smaller than the sum of its proper divisors (29358048).

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

10776480 is a wasteful number, since it uses less digits than its factorization.

10776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10776480 is about 3282.7549405949. The cubic root of 10776480 is about 220.8813132566.

It can be divided in two parts, 1077 and 6480, that added together give a palindrome (7557).

The spelling of 10776480 in words is "ten million, seven hundred seventy-six thousand, four hundred eighty".