1303879680 has 336 divisors, whose sum is σ = 4723022304. Its totient is φ = 345047040.

The previous prime is 1303879657. The next prime is 1303879699. The reversal of 1303879680 is 869783031.

It is a happy number.

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, 9953215 + ... + 9953345.

It is an arithmetic number, because the mean of its divisors is an integer number (14056614).

Almost surely, 2^1303879680 is an apocalyptic number.

1303879680 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 1303879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361511152).

1303879680 is an abundant number, since it is smaller than the sum of its proper divisors (3419142624).

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

1303879680 is an frugal number, since it uses more digits than its factorization.

1303879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1303879680 is about 36109.2741549868. The cubic root of 1303879680 is about 1092.4775112449.

The spelling of 1303879680 in words is "one billion, three hundred three million, eight hundred seventy-nine thousand, six hundred eighty".