77606288970 has 256 divisors, whose sum is σ = 225043660800. Its totient is φ = 16753443840.

The previous prime is 77606288917. The next prime is 77606288989. The reversal of 77606288970 is 7988260677.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97372612 + ... + 97373408.

It is an arithmetic number, because the mean of its divisors is an integer number (879076800).

Almost surely, 2^77606288970 is an apocalyptic number.

77606288970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77606288970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112521830400).

77606288970 is an abundant number, since it is smaller than the sum of its proper divisors (147437371830).

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

77606288970 is a wasteful number, since it uses less digits than its factorization.

77606288970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 77606288970 in words is "seventy-seven billion, six hundred six million, two hundred eighty-eight thousand, nine hundred seventy".