77940516 has 36 divisors (see below), whose sum is σ = 188372912. Its totient is φ = 25081056.

The previous prime is 77940509. The next prime is 77940517. The reversal of 77940516 is 61504977.

It is not an unprimeable number, because it can be changed into a prime (77940517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6231 + ... + 13953.

Almost surely, 2^77940516 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 77940516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94186456).

77940516 is an abundant number, since it is smaller than the sum of its proper divisors (110432396).

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

77940516 is a wasteful number, since it uses less digits than its factorization.

77940516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 77940516 is about 8828.3926056786. The cubic root of 77940516 is about 427.1572273733.

The spelling of 77940516 in words is "seventy-seven million, nine hundred forty thousand, five hundred sixteen".