77038080 has 160 divisors (see below), whose sum is σ = 281660544. Its totient is φ = 17596416.

The previous prime is 77038051. The next prime is 77038099. The reversal of 77038080 is 8083077.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53044 + ... + 54476.

Almost surely, 2^77038080 is an apocalyptic number.

77038080 is a gapful number since it is divisible by the number (70) 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 77038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140830272).

77038080 is an abundant number, since it is smaller than the sum of its proper divisors (204622464).

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

77038080 is a wasteful number, since it uses less digits than its factorization.

77038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 77038080 is about 8777.1339285669. The cubic root of 77038080 is about 425.5022067884.

The spelling of 77038080 in words is "seventy-seven million, thirty-eight thousand, eighty".