80837862400 has 99 divisors (see below), whose sum is σ = 200492835699. Its totient is φ = 32316948480.

The previous prime is 80837862383. The next prime is 80837862407. The reversal of 80837862400 is 426873808.

The square root of 80837862400 is 284320.

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 1467196416 + 79370665984 = 38304^2 + 281728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80837862407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45490312 + ... + 45492088.

Almost surely, 2^80837862400 is an apocalyptic number.

80837862400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80837862400 is the 284320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80837862400

80837862400 is an abundant number, since it is smaller than the sum of its proper divisors (119654973299).

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

80837862400 is an frugal number, since it uses more digits than its factorization.

80837862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 80837862400 in words is "eighty billion, eight hundred thirty-seven million, eight hundred sixty-two thousand, four hundred".