78299232400 has 135 divisors (see below), whose sum is σ = 200073445131. Its totient is φ = 29441541120.

The previous prime is 78299232397. The next prime is 78299232433. The reversal of 78299232400 is 423299287.

The square root of 78299232400 is 279820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1831497616 + 76467734784 = 42796^2 + 276528^2 .

It is a super-2 number, since 2×78299232400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95138389 + ... + 95139211.

Almost surely, 2^78299232400 is an apocalyptic number.

78299232400 is the 279820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78299232400

78299232400 is an abundant number, since it is smaller than the sum of its proper divisors (121774212731).

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

78299232400 is an equidigital number, since it uses as much as digits as its factorization.

78299232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 78299232400 in words is "seventy-eight billion, two hundred ninety-nine million, two hundred thirty-two thousand, four hundred".