1007880 has 64 divisors (see below), whose sum is σ = 3119040. Its totient is φ = 260352.

The previous prime is 1007873. The next prime is 1007887. The reversal of 1007880 is 887001.

It is an interprime number because it is at equal distance from previous prime (1007873) and next prime (1007887).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1007880.

It is not an unprimeable number, because it can be changed into a prime (1007887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (48735).

2^1007880 is an apocalyptic number.

1007880 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 1007880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559520).

1007880 is an abundant number, since it is smaller than the sum of its proper divisors (2111160).

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

1007880 is a wasteful number, since it uses less digits than its factorization.

1007880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1007880 is about 1003.9322686317. The cubic root of 1007880 is about 100.2619797335.

The spelling of 1007880 in words is "one million, seven thousand, eight hundred eighty".