1397710080 has 720 divisors, whose sum is σ = 5796285264. Its totient is φ = 318504960.

The previous prime is 1397710073. The next prime is 1397710087. The reversal of 1397710080 is 800177931.

It is an interprime number because it is at equal distance from previous prime (1397710073) and next prime (1397710087).

It can be written as a sum of positive squares in 8 ways, for example, as 232989696 + 1164720384 = 15264^2 + 34128^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397710087) 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, 22913250 + ... + 22913310.

Almost surely, 2^1397710080 is an apocalyptic number.

1397710080 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 1397710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898142632).

1397710080 is an abundant number, since it is smaller than the sum of its proper divisors (4398575184).

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

1397710080 is a wasteful number, since it uses less digits than its factorization.

1397710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1397710080 is about 37385.9610014241. The cubic root of 1397710080 is about 1118.0786787136.

The spelling of 1397710080 in words is "one billion, three hundred ninety-seven million, seven hundred ten thousand, eighty".