1672678800 has 360 divisors, whose sum is σ = 6330053184. Its totient is φ = 406563840.

The previous prime is 1672678789. The next prime is 1672678823. The reversal of 1672678800 is 88762761.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4820227 + ... + 4820573.

Almost surely, 2^1672678800 is an apocalyptic number.

1672678800 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 1672678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165026592).

1672678800 is an abundant number, since it is smaller than the sum of its proper divisors (4657374384).

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

1672678800 is a wasteful number, since it uses less digits than its factorization.

1672678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1672678800 is about 40898.3960565693. The cubic root of 1672678800 is about 1187.0550251562.

The spelling of 1672678800 in words is "one billion, six hundred seventy-two million, six hundred seventy-eight thousand, eight hundred".