78983100 has 270 divisors, whose sum is σ = 299329800. Its totient is φ = 17962560.

The previous prime is 78983087. The next prime is 78983101. The reversal of 78983100 is 138987.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×78983100² = 12476660171220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78983101) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 396801 + ... + 396999.

Almost surely, 2^78983100 is an apocalyptic number.

78983100 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 78983100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149664900).

78983100 is an abundant number, since it is smaller than the sum of its proper divisors (220346700).

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

78983100 is a wasteful number, since it uses less digits than its factorization.

78983100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 78983100 is about 8887.2436671895. The cubic root of 78983100 is about 429.0534433884.

The spelling of 78983100 in words is "seventy-eight million, nine hundred eighty-three thousand, one hundred".