1778874240 has 768 divisors, whose sum is σ = 7293081600. Its totient is φ = 364953600.

The previous prime is 1778874217. The next prime is 1778874241. The reversal of 1778874240 is 424788771.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1778874240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1778874241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57383025 + ... + 57383055.

It is an arithmetic number, because the mean of its divisors is an integer number (9496200).

Almost surely, 2^1778874240 is an apocalyptic number.

1778874240 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 1778874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646540800).

1778874240 is an abundant number, since it is smaller than the sum of its proper divisors (5514207360).

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

1778874240 is a wasteful number, since it uses less digits than its factorization.

1778874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The square root of 1778874240 is about 42176.7025738144. The cubic root of 1778874240 is about 1211.6627278812.

The spelling of 1778874240 in words is "one billion, seven hundred seventy-eight million, eight hundred seventy-four thousand, two hundred forty".