77071040 has 56 divisors (see below), whose sum is σ = 184507632. Its totient is φ = 30663680.

The previous prime is 77071031. The next prime is 77071069. The reversal of 77071040 is 4017077.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72110 + ... + 73170.

Almost surely, 2^77071040 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 77071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92253816).

77071040 is an abundant number, since it is smaller than the sum of its proper divisors (107436592).

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

77071040 is a wasteful number, since it uses less digits than its factorization.

77071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 77071040 is about 8779.0113338576. The cubic root of 77071040 is about 425.5628804757.

The spelling of 77071040 in words is "seventy-seven million, seventy-one thousand, forty".