1777313340 has 180 divisors, whose sum is σ = 6129115608. Its totient is φ = 430816320.

The previous prime is 1777313303. The next prime is 1777313347. The reversal of 1777313340 is 433137771.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 1777313295 and 1777313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1777313347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 191487 + ... + 200553.

Almost surely, 2^1777313340 is an apocalyptic number.

1777313340 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 1777313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064557804).

1777313340 is an abundant number, since it is smaller than the sum of its proper divisors (4351802268).

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

1777313340 is a wasteful number, since it uses less digits than its factorization.

1777313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 1777313340 is about 42158.1942212899. The cubic root of 1777313340 is about 1211.3082269357.

Subtracting from 1777313340 its reverse (433137771), we obtain a square (1344175569 = 36663²).

It can be divided in two parts, 17773 and 13340, that added together give a palindrome (31113).

The spelling of 1777313340 in words is "one billion, seven hundred seventy-seven million, three hundred thirteen thousand, three hundred forty".