77516140 has 48 divisors (see below), whose sum is σ = 175962528. Its totient is φ = 28514304.

The previous prime is 77516111. The next prime is 77516149. The reversal of 77516140 is 4161577.

It is not an unprimeable number, because it can be changed into a prime (77516149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114844 + ... + 115516.

It is an arithmetic number, because the mean of its divisors is an integer number (3665886).

Almost surely, 2^77516140 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 77516140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87981264).

77516140 is an abundant number, since it is smaller than the sum of its proper divisors (98446388).

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

77516140 is a wasteful number, since it uses less digits than its factorization.

77516140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 77516140 is about 8804.3250735079. The cubic root of 77516140 is about 426.3805441175.

The spelling of 77516140 in words is "seventy-seven million, five hundred sixteen thousand, one hundred forty".