88078368400 has 405 divisors, whose sum is σ = 248986498089. Its totient is φ = 29915424000.

The previous prime is 88078368349. The next prime is 88078368437. The reversal of 88078368400 is 486387088.

The square root of 88078368400 is 296780.

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

It can be written as a sum of positive squares in only one way, i.e., 31708212624 + 56370155776 = 178068^2 + 237424^2 .

It is a super-2 number, since 2×88078368400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1240540365 + ... + 1240540435.

Almost surely, 2^88078368400 is an apocalyptic number.

88078368400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88078368400 is the 296780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88078368400

88078368400 is an abundant number, since it is smaller than the sum of its proper divisors (160908129689).

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

88078368400 is a wasteful number, since it uses less digits than its factorization.

88078368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 88078368400 in words is "eighty-eight billion, seventy-eight million, three hundred sixty-eight thousand, four hundred".