1397816784 has 480 divisors, whose sum is σ = 5240497920. Its totient is φ = 347120640.

The previous prime is 1397816759. The next prime is 1397816803. The reversal of 1397816784 is 4876187931.

It is a super-3 number, since 3×1397816784³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1397816784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37778814 + ... + 37778850.

It is an arithmetic number, because the mean of its divisors is an integer number (10917704).

Almost surely, 2^1397816784 is an apocalyptic number.

1397816784 is a gapful number since it is divisible by the number (14) 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 1397816784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620248960).

1397816784 is an abundant number, since it is smaller than the sum of its proper divisors (3842681136).

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

1397816784 is a wasteful number, since it uses less digits than its factorization.

1397816784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1397816784 is about 37387.3880339347. The cubic root of 1397816784 is about 1118.1071301149.

The spelling of 1397816784 in words is "one billion, three hundred ninety-seven million, eight hundred sixteen thousand, seven hundred eighty-four".