9077806080 has 880 divisors, whose sum is σ = 38520282240. Its totient is φ = 2001272832.

The previous prime is 9077806009. The next prime is 9077806091. The reversal of 9077806080 is 806087709.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153861091 + ... + 153861149.

It is an arithmetic number, because the mean of its divisors is an integer number (43773048).

Almost surely, 2^9077806080 is an apocalyptic number.

9077806080 is a gapful number since it is divisible by the number (90) 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 9077806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260141120).

9077806080 is an abundant number, since it is smaller than the sum of its proper divisors (29442476160).

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

9077806080 is a wasteful number, since it uses less digits than its factorization.

9077806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

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

The square root of 9077806080 is about 95277.5213783398. The cubic root of 9077806080 is about 2086.0608234574.

The spelling of 9077806080 in words is "nine billion, seventy-seven million, eight hundred six thousand, eighty".