78982772400 has 360 divisors, whose sum is σ = 314521369344. Its totient is φ = 17979840000.

The previous prime is 78982772381. The next prime is 78982772413. The reversal of 78982772400 is 427728987.

It is a tau number, because it is divible by the number of its divisors (360).

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, 6318957 + ... + 6331443.

Almost surely, 2^78982772400 is an apocalyptic number.

78982772400 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 78982772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157260684672).

78982772400 is an abundant number, since it is smaller than the sum of its proper divisors (235538596944).

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

78982772400 is a wasteful number, since it uses less digits than its factorization.

78982772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 78982772400 in words is "seventy-eight billion, nine hundred eighty-two million, seven hundred seventy-two thousand, four hundred".