1078093440 has 192 divisors, whose sum is σ = 3919125600. Its totient is φ = 272332800.

The previous prime is 1078093427. The next prime is 1078093453. The reversal of 1078093440 is 443908701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1078093427) and next prime (1078093453).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1078093395 and 1078093404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104515 + ... + 114365.

Almost surely, 2^1078093440 is an apocalyptic number.

1078093440 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 1078093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959562800).

1078093440 is an abundant number, since it is smaller than the sum of its proper divisors (2841032160).

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

1078093440 is a wasteful number, since it uses less digits than its factorization.

1078093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1078093440 is about 32834.3332504255. Note that the first 3 decimals coincide. The cubic root of 1078093440 is about 1025.3814768848.

The spelling of 1078093440 in words is "one billion, seventy-eight million, ninety-three thousand, four hundred forty".