78464100 has 288 divisors, whose sum is σ = 279982080. Its totient is φ = 16704000.

The previous prime is 78464081. The next prime is 78464107. The reversal of 78464100 is 146487.

It is a super-2 number, since 2×78464100² = 12313229977620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78464107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1329871 + ... + 1329929.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^78464100 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 78464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

78464100 is an abundant number, since it is smaller than the sum of its proper divisors (201517980).

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

78464100 is a wasteful number, since it uses less digits than its factorization.

78464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78464100 is about 8857.9963874456. The cubic root of 78464100 is about 428.1116036443. Note that the first 3 decimals are identical.

The spelling of 78464100 in words is "seventy-eight million, four hundred sixty-four thousand, one hundred".