1078413840 has 240 divisors, whose sum is σ = 4251656448. Its totient is φ = 239791104.

The previous prime is 1078413829. The next prime is 1078413851. The reversal of 1078413840 is 483148701.

It is an interprime number because it is at equal distance from previous prime (1078413829) and next prime (1078413851).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1078413840³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1078413795 and 1078413804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183589 + ... + 189371.

Almost surely, 2^1078413840 is an apocalyptic number.

1078413840 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 1078413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125828224).

1078413840 is an abundant number, since it is smaller than the sum of its proper divisors (3173242608).

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

1078413840 is a wasteful number, since it uses less digits than its factorization.

1078413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1078413840 is about 32839.2119272068. The cubic root of 1078413840 is about 1025.4830449780.

The spelling of 1078413840 in words is "one billion, seventy-eight million, four hundred thirteen thousand, eight hundred forty".