1349777520 has 720 divisors, whose sum is σ = 5943057120. Its totient is φ = 282175488.

The previous prime is 1349777491. The next prime is 1349777581. The reversal of 1349777520 is 257779431.

1349777520 is a `hidden beast` number, since 1 + 34 + 97 + 7 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12383226 + ... + 12383334.

It is an arithmetic number, because the mean of its divisors is an integer number (8254246).

Almost surely, 2^1349777520 is an apocalyptic number.

1349777520 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 1349777520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971528560).

1349777520 is an abundant number, since it is smaller than the sum of its proper divisors (4593279600).

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

1349777520 is a wasteful number, since it uses less digits than its factorization.

1349777520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 1349777520 is about 36739.3184476795. The cubic root of 1349777520 is about 1105.1487334176.

The spelling of 1349777520 in words is "one billion, three hundred forty-nine million, seven hundred seventy-seven thousand, five hundred twenty".