1257676794 has 80 divisors (see below), whose sum is σ = 3088229760. Its totient is φ = 379391040.

The previous prime is 1257676753. The next prime is 1257676801. The reversal of 1257676794 is 4976767521.

1257676794 is a `hidden beast` number, since 1 + 2 + 576 + 7 + 67 + 9 + 4 = 666.

It is a super-2 number, since 2×1257676794² = 3163501836332236872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1257676794.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424422 + ... + 427374.

It is an arithmetic number, because the mean of its divisors is an integer number (38602872).

Almost surely, 2^1257676794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257676794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544114880).

1257676794 is an abundant number, since it is smaller than the sum of its proper divisors (1830552966).

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

1257676794 is a wasteful number, since it uses less digits than its factorization.

1257676794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3208 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 1257676794 is about 35463.7391429612. The cubic root of 1257676794 is about 1079.4180661239.

The spelling of 1257676794 in words is "one billion, two hundred fifty-seven million, six hundred seventy-six thousand, seven hundred ninety-four".