670712400 has 300 divisors, whose sum is σ = 2440970752. Its totient is φ = 176359680.

The previous prime is 670712359. The next prime is 670712423. The reversal of 670712400 is 4217076.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4114719 + ... + 4114881.

Almost surely, 2^670712400 is an apocalyptic number.

670712400 is a gapful number since it is divisible by the number (60) 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 670712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220485376).

670712400 is an abundant number, since it is smaller than the sum of its proper divisors (1770258352).

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

670712400 is a wasteful number, since it uses less digits than its factorization.

670712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 670712400 is about 25898.1157615762. The cubic root of 670712400 is about 875.3440388602.

Adding to 670712400 its reverse (4217076), we get a palindrome (674929476).

The spelling of 670712400 in words is "six hundred seventy million, seven hundred twelve thousand, four hundred".