676598400 has 384 divisors, whose sum is σ = 2549836800. Its totient is φ = 175104000.

The previous prime is 676598399. The next prime is 676598401. The reversal of 676598400 is 4895676.

It is an interprime number because it is at equal distance from previous prime (676598399) and next prime (676598401).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (676598401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542305 + ... + 3542495.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^676598400 is an apocalyptic number.

676598400 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 676598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

676598400 is an abundant number, since it is smaller than the sum of its proper divisors (1873238400).

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

676598400 is a wasteful number, since it uses less digits than its factorization.

676598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 676598400 is about 26011.5051467615. The cubic root of 676598400 is about 877.8971830419.

It can be divided in two parts, 676 and 598400, that added together give a square (599076 = 774²).

The spelling of 676598400 in words is "six hundred seventy-six million, five hundred ninety-eight thousand, four hundred".