10077120 has 84 divisors (see below), whose sum is σ = 34671000. Its totient is φ = 2686464.

The previous prime is 10077097. The next prime is 10077127. The reversal of 10077120 is 2177001.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10077093 and 10077102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (412750).

Almost surely, 2^10077120 is an apocalyptic number.

10077120 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 10077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335500).

10077120 is an abundant number, since it is smaller than the sum of its proper divisors (24593880).

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

10077120 is a wasteful number, since it uses less digits than its factorization.

10077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3509 counting only the distinct ones).

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

The square root of 10077120 is about 3174.4479835083. The cubic root of 10077120 is about 215.9958846953.

The spelling of 10077120 in words is "ten million, seventy-seven thousand, one hundred twenty".