1358077680 has 120 divisors (see below), whose sum is σ = 4587661728. Its totient is φ = 360027648.

The previous prime is 1358077673. The next prime is 1358077723. The reversal of 1358077680 is 867708531.

1358077680 is a `hidden beast` number, since 1 + 3 + 580 + 7 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 119109 + ... + 130011.

Almost surely, 2^1358077680 is an apocalyptic number.

1358077680 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 1358077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293830864).

1358077680 is an abundant number, since it is smaller than the sum of its proper divisors (3229584048).

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

1358077680 is a wasteful number, since it uses less digits than its factorization.

1358077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1358077680 is about 36852.1055029424. The cubic root of 1358077680 is about 1107.4093956082.

The spelling of 1358077680 in words is "one billion, three hundred fifty-eight million, seventy-seven thousand, six hundred eighty".