80900640 has 192 divisors, whose sum is σ = 288731520. Its totient is φ = 21150720.

The previous prime is 80900639. The next prime is 80900647. The reversal of 80900640 is 4600908.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (80900647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263367 + ... + 263673.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^80900640 is an apocalyptic number.

80900640 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 80900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

80900640 is an abundant number, since it is smaller than the sum of its proper divisors (207830880).

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

80900640 is a wasteful number, since it uses less digits than its factorization.

80900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80900640 is about 8994.4783061610. The cubic root of 80900640 is about 432.4978827566.

The spelling of 80900640 in words is "eighty million, nine hundred thousand, six hundred forty".