1078480 has 80 divisors (see below), whose sum is σ = 2906064. Its totient is φ = 368640.

The previous prime is 1078471. The next prime is 1078489. The reversal of 1078480 is 848701.

1078480 = T₂₅₃ + T₂₅₄ + ... + T₂₈₂.

It is an interprime number because it is at equal distance from previous prime (1078471) and next prime (1078489).

It can be written as a sum of positive squares in 8 ways, for example, as 179776 + 898704 = 424^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1078480² = 2326238220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078489) 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, 17650 + ... + 17710.

2^1078480 is an apocalyptic number.

1078480 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 1078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453032).

1078480 is an abundant number, since it is smaller than the sum of its proper divisors (1827584).

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

1078480 is a wasteful number, since it uses less digits than its factorization.

1078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1078480 is about 1038.4989167062. The cubic root of 1078480 is about 102.5504015459.

The spelling of 1078480 in words is "one million, seventy-eight thousand, four hundred eighty".