771120 has 200 divisors, whose sum is σ = 3240864. Its totient is φ = 165888.

The previous prime is 771109. The next prime is 771143. The reversal of 771120 is 21177.

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

It is a junction number, because it is equal to n+sod(n) for n = 771093 and 771102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 771120.

It is an unprimeable number.

771120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45352 + ... + 45368.

2⁷⁷¹¹²⁰ is an apocalyptic number.

771120 is a gapful number since it is divisible by the number (70) 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 771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432).

771120 is an abundant number, since it is smaller than the sum of its proper divisors (2469744).

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

771120 is a wasteful number, since it uses less digits than its factorization.

771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

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

The square root of 771120 is about 878.1343860708. The cubic root of 771120 is about 91.7009825607.

Adding to 771120 its reverse (21177), we get a palindrome (792297).

The spelling of 771120 in words is "seven hundred seventy-one thousand, one hundred twenty", and thus it is an iban number.