1678076400 has 720 divisors, whose sum is σ = 7329308672. Its totient is φ = 319334400.

The previous prime is 1678076383. The next prime is 1678076423. The reversal of 1678076400 is 46708761.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13213137 + ... + 13213263.

Almost surely, 2^1678076400 is an apocalyptic number.

1678076400 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 1678076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664654336).

1678076400 is an abundant number, since it is smaller than the sum of its proper divisors (5651232272).

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

1678076400 is a wasteful number, since it uses less digits than its factorization.

1678076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1678076400 is about 40964.3308257318. The cubic root of 1678076400 is about 1188.3304978971.

The spelling of 1678076400 in words is "one billion, six hundred seventy-eight million, seventy-six thousand, four hundred".