77307936 has 48 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 25330688.

The previous prime is 77307929. The next prime is 77307983. The reversal of 77307936 is 63970377.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^77307936 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 77307936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

77307936 is an abundant number, since it is smaller than the sum of its proper divisors (129080064).

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

77307936 is a wasteful number, since it uses less digits than its factorization.

77307936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 42.

The square root of 77307936 is about 8792.4931617830. The cubic root of 77307936 is about 425.9984570907.

The spelling of 77307936 in words is "seventy-seven million, three hundred seven thousand, nine hundred thirty-six".