80777088 has 288 divisors, whose sum is σ = 285699960. Its totient is φ = 22643712.

The previous prime is 80777069. The next prime is 80777107. The reversal of 80777088 is 88077708.

It is an interprime number because it is at equal distance from previous prime (80777069) and next prime (80777107).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524070 + ... + 1524122.

Almost surely, 2^80777088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980).

80777088 is an abundant number, since it is smaller than the sum of its proper divisors (204922872).

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

80777088 is an equidigital number, since it uses as much as digits as its factorization.

80777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 80777088 is about 8987.6074680640. The cubic root of 80777088 is about 432.2775993567.

The spelling of 80777088 in words is "eighty million, seven hundred seventy-seven thousand, eighty-eight".