13076379904 has 81 divisors (see below), whose sum is σ = 30392946801. Its totient is φ = 5598673920.

The previous prime is 13076379871. The next prime is 13076379931. The reversal of 13076379904 is 40997367031.

It is a happy number.

The square root of 13076379904 is 114352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7612213504 + 5464166400 = 87248^2 + 73920^2 .

It is a super-2 number, since 2×13076379904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12806914 + ... + 12807934.

Almost surely, 2^13076379904 is an apocalyptic number.

13076379904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13076379904 is the 114352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13076379904

13076379904 is an abundant number, since it is smaller than the sum of its proper divisors (17316566897).

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

13076379904 is an frugal number, since it uses more digits than its factorization.

13076379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

Multiplying 13076379904 by its sum of digits (49), we get a square (640742615296 = 800464²).

13076379904 divided by its sum of digits (49) gives a square (266864896 = 16336²).

The spelling of 13076379904 in words is "thirteen billion, seventy-six million, three hundred seventy-nine thousand, nine hundred four".