80654400 has 168 divisors, whose sum is σ = 294172640. Its totient is φ = 21496320.

The previous prime is 80654389. The next prime is 80654407. The reversal of 80654400 is 445608.

80654400 is a `hidden beast` number, since 8 + 0 + 654 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80654407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42267 + ... + 44133.

Almost surely, 2^80654400 is an apocalyptic number.

80654400 is a gapful number since it is divisible by the number (80) 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 80654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147086320).

80654400 is an abundant number, since it is smaller than the sum of its proper divisors (213518240).

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

80654400 is a wasteful number, since it uses less digits than its factorization.

80654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 80654400 is about 8980.7794761925. The cubic root of 80654400 is about 432.0586340167.

The spelling of 80654400 in words is "eighty million, six hundred fifty-four thousand, four hundred".