80779680 has 240 divisors, whose sum is σ = 298577664. Its totient is φ = 20528640.

The previous prime is 80779669. The next prime is 80779687. The reversal of 80779680 is 8697708.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80779687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297945 + ... + 298215.

Almost surely, 2^80779680 is an apocalyptic number.

80779680 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 80779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

80779680 is an abundant number, since it is smaller than the sum of its proper divisors (217797984).

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

80779680 is a wasteful number, since it uses less digits than its factorization.

80779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 80779680 is about 8987.7516654612. The cubic root of 80779680 is about 432.2822229927.

The spelling of 80779680 in words is "eighty million, seven hundred seventy-nine thousand, six hundred eighty".