1680308400 has 120 divisors (see below), whose sum is σ = 5403495424. Its totient is φ = 446342400.

The previous prime is 1680308363. The next prime is 1680308437. The reversal of 1680308400 is 48030861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680308363) and next prime (1680308437).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1680308400² = 5646872638221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 322617 + ... + 327783.

Almost surely, 2^1680308400 is an apocalyptic number.

1680308400 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 1680308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701747712).

1680308400 is an abundant number, since it is smaller than the sum of its proper divisors (3723187024).

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

1680308400 is a wasteful number, since it uses less digits than its factorization.

1680308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1680308400 is about 40991.5649859822. The cubic root of 1680308400 is about 1188.8571283849.

The spelling of 1680308400 in words is "one billion, six hundred eighty million, three hundred eight thousand, four hundred".