78321600 has 504 divisors, whose sum is σ = 341101680. Its totient is φ = 17418240.

The previous prime is 78321589. The next prime is 78321653. The reversal of 78321600 is 612387.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×78321600² = 12268546053120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 2116782 + ... + 2116818.

Almost surely, 2^78321600 is an apocalyptic number.

78321600 is a gapful number since it is divisible by the number (70) 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 78321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170550840).

78321600 is an abundant number, since it is smaller than the sum of its proper divisors (262780080).

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

78321600 is a wasteful number, since it uses less digits than its factorization.

78321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78321600 is about 8849.9491523963. The cubic root of 78321600 is about 427.8522796472.

Adding to 78321600 its reverse (612387), we get a palindrome (78933987).

The spelling of 78321600 in words is "seventy-eight million, three hundred twenty-one thousand, six hundred".