10777130 has 48 divisors (see below), whose sum is σ = 24033024. Its totient is φ = 3407040.

The previous prime is 10777127. The next prime is 10777141. The reversal of 10777130 is 3177701.

It is a super-2 number, since 2×10777130² = 232293062073800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10777130.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11375 + ... + 12285.

It is an arithmetic number, because the mean of its divisors is an integer number (500688).

Almost surely, 2^10777130 is an apocalyptic number.

10777130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10777130 is an abundant number, since it is smaller than the sum of its proper divisors (13255894).

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

10777130 is a wasteful number, since it uses less digits than its factorization.

10777130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 26.

The square root of 10777130 is about 3282.8539413139. The cubic root of 10777130 is about 220.8857540996.

10777130 divided by its sum of digits (26) gives a triangular number (414505 = T₉₁₀).

The spelling of 10777130 in words is "ten million, seven hundred seventy-seven thousand, one hundred thirty".