88378801 has 27 divisors (see below), whose sum is σ = 110611179. Its totient is φ = 70394688.

The previous prime is 88378751. The next prime is 88378817. The reversal of 88378801 is 10887388.

The square root of 88378801 is 9401.

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., 68807025 + 19571776 = 8295^2 + 4424^2 .

It is not a de Polignac number, because 88378801 - 2¹⁵ = 88346033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88378831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1118680 + ... + 1118758.

Almost surely, 2^88378801 is an apocalyptic number.

88378801 is the 9401-st square number.

88378801 is the 4701-st centered octagonal number.

It is an amenable number.

88378801 is a deficient number, since it is larger than the sum of its proper divisors (22232378).

88378801 is an equidigital number, since it uses as much as digits as its factorization.

88378801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The cubic root of 88378801 is about 445.4333211285.

The spelling of 88378801 in words is "eighty-eight million, three hundred seventy-eight thousand, eight hundred one".