1077120 has 192 divisors, whose sum is σ = 4296240. Its totient is φ = 245760.

The previous prime is 1077101. The next prime is 1077127. The reversal of 1077120 is 217701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1077093 and 1077102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63352 + ... + 63368.

2^1077120 is an apocalyptic number.

1077120 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 1077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148120).

1077120 is an abundant number, since it is smaller than the sum of its proper divisors (3219120).

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

1077120 is a wasteful number, since it uses less digits than its factorization.

1077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1077120 is about 1037.8439189011. The cubic root of 1077120 is about 102.5072768976.

It can be divided in two parts, 107 and 7120, that added together give a palindrome (7227).

The spelling of 1077120 in words is "one million, seventy-seven thousand, one hundred twenty".