77219932608 has 1008 divisors, whose sum is σ = 297884270880. Its totient is φ = 19438755840.

The previous prime is 77219932597. The next prime is 77219932637. The reversal of 77219932608 is 80623991277.

77219932608 is a `hidden beast` number, since 7 + 7 + 21 + 9 + 9 + 3 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 1057807260 + ... + 1057807332.

It is an arithmetic number, because the mean of its divisors is an integer number (295520110).

Almost surely, 2^77219932608 is an apocalyptic number.

77219932608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77219932608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148942135440).

77219932608 is an abundant number, since it is smaller than the sum of its proper divisors (220664338272).

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

77219932608 is a wasteful number, since it uses less digits than its factorization.

77219932608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 77219932608 in words is "seventy-seven billion, two hundred nineteen million, nine hundred thirty-two thousand, six hundred eight".