1779068040 has 128 divisors (see below), whose sum is σ = 5770224000. Its totient is φ = 437280768.

The previous prime is 1779068029. The next prime is 1779068051. The reversal of 1779068040 is 408609771.

It is a Cunningham number, because it is equal to 42179²-1.

It is an interprime number because it is at equal distance from previous prime (1779068029) and next prime (1779068051).

It is a junction number, because it is equal to n+sod(n) for n = 1779067983 and 1779068001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73816 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (45079875).

Almost surely, 2^1779068040 is an apocalyptic number.

1779068040 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 1779068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885112000).

1779068040 is an abundant number, since it is smaller than the sum of its proper divisors (3991155960).

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

1779068040 is a wasteful number, since it uses less digits than its factorization.

1779068040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21159 (or 21155 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1779068040 is about 42178.9999881458. Note that the first 4 decimals coincide. The cubic root of 1779068040 is about 1211.7067279393.

The spelling of 1779068040 in words is "one billion, seven hundred seventy-nine million, sixty-eight thousand, forty".