77416514880 has 896 divisors, whose sum is σ = 283703938560. Its totient is φ = 17789091840.

The previous prime is 77416514873. The next prime is 77416514947. The reversal of 77416514880 is 8841561477.

It is a super-2 number, since 2×77416514880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1312144291 + ... + 1312144349.

It is an arithmetic number, because the mean of its divisors is an integer number (316633860).

Almost surely, 2^77416514880 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 77416514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141851969280).

77416514880 is an abundant number, since it is smaller than the sum of its proper divisors (206287423680).

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

77416514880 is a wasteful number, since it uses less digits than its factorization.

77416514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 77416514880 in words is "seventy-seven billion, four hundred sixteen million, five hundred fourteen thousand, eight hundred eighty".