1307152080 has 400 divisors, whose sum is σ = 4990930560. Its totient is φ = 315104256.

The previous prime is 1307152057. The next prime is 1307152087. The reversal of 1307152080 is 802517031.

1307152080 is a `hidden beast` number, since 130 + 7 + 1 + 520 + 8 + 0 = 666.

1307152080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307152087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4970029 + ... + 4970291.

Almost surely, 2^1307152080 is an apocalyptic number.

1307152080 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 1307152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280).

1307152080 is an abundant number, since it is smaller than the sum of its proper divisors (3683778480).

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

1307152080 is a wasteful number, since it uses less digits than its factorization.

1307152080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1307152080 is about 36154.5582188470. The cubic root of 1307152080 is about 1093.3906928397.

The spelling of 1307152080 in words is "one billion, three hundred seven million, one hundred fifty-two thousand, eighty".