77607107072 has 160 divisors (see below), whose sum is σ = 171960243840. Its totient is φ = 34697134080.

The previous prime is 77607107057. The next prime is 77607107101. The reversal of 77607107072 is 27070170677.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102518918 + ... + 102519674.

It is an arithmetic number, because the mean of its divisors is an integer number (1074751524).

Almost surely, 2^77607107072 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 77607107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85980121920).

77607107072 is an abundant number, since it is smaller than the sum of its proper divisors (94353136768).

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

77607107072 is a wasteful number, since it uses less digits than its factorization.

77607107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 44.

The spelling of 77607107072 in words is "seventy-seven billion, six hundred seven million, one hundred seven thousand, seventy-two".