79788400 has 60 divisors (see below), whose sum is σ = 193107184. Its totient is φ = 31680000.

The previous prime is 79788377. The next prime is 79788407. The reversal of 79788400 is 488797.

79788400 = T₁₄₂₁ + T₁₄₂₂ + ... + T₁₄₉₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79788407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59740 + ... + 61060.

Almost surely, 2^79788400 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 79788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96553592).

79788400 is an abundant number, since it is smaller than the sum of its proper divisors (113318784).

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

79788400 is a wasteful number, since it uses less digits than its factorization.

79788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 79788400 is about 8932.4352782430. The cubic root of 79788400 is about 430.5067039190.

The spelling of 79788400 in words is "seventy-nine million, seven hundred eighty-eight thousand, four hundred".