673776400 has 90 divisors (see below), whose sum is σ = 1779412586. Its totient is φ = 244992000.

The previous prime is 673776391. The next prime is 673776403. The reversal of 673776400 is 4677376.

It can be written as a sum of positive squares in 3 ways, for example, as 57942544 + 615833856 = 7612^2 + 24816^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673776403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41440 + ... + 55360.

Almost surely, 2^673776400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889706293).

673776400 is an abundant number, since it is smaller than the sum of its proper divisors (1105636186).

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

673776400 is a wasteful number, since it uses less digits than its factorization.

673776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The square root of 673776400 is about 25957.2032391781. The cubic root of 673776400 is about 876.6749522526.

The spelling of 673776400 in words is "six hundred seventy-three million, seven hundred seventy-six thousand, four hundred".