78516900 has 324 divisors, whose sum is σ = 312160576. Its totient is φ = 16156800.

The previous prime is 78516899. The next prime is 78516901. The reversal of 78516900 is 961587.

It is an interprime number because it is at equal distance from previous prime (78516899) and next prime (78516901).

It is a super-2 number, since 2×78516900² = 12329807171220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78516901) 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 107 ways as a sum of consecutive naturals, for example, 762249 + ... + 762351.

Almost surely, 2^78516900 is an apocalyptic number.

78516900 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 78516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156080288).

78516900 is an abundant number, since it is smaller than the sum of its proper divisors (233643676).

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

78516900 is a wasteful number, since it uses less digits than its factorization.

78516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 78516900 is about 8860.9762441844. The cubic root of 78516900 is about 428.2076102863.

The spelling of 78516900 in words is "seventy-eight million, five hundred sixteen thousand, nine hundred".