77202948096 has 640 divisors, whose sum is σ = 256923414000. Its totient is φ = 22988980224.

The previous prime is 77202948077. The next prime is 77202948131. The reversal of 77202948096 is 69084920277.

77202948096 is a `hidden beast` number, since 7 + 72 + 0 + 2 + 9 + 480 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308524515 + ... + 1308524573.

Almost surely, 2^77202948096 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 77202948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128461707000).

77202948096 is an abundant number, since it is smaller than the sum of its proper divisors (179720465904).

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

77202948096 is an equidigital number, since it uses as much as digits as its factorization.

77202948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 77202948096 in words is "seventy-seven billion, two hundred two million, nine hundred forty-eight thousand, ninety-six".