77492272320 has 1008 divisors, whose sum is σ = 307375889184. Its totient is φ = 18513100800.

The previous prime is 77492272279. The next prime is 77492272327. The reversal of 77492272320 is 2327229477.

77492272320 is a `hidden beast` number, since 77 + 492 + 2 + 72 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77492272327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1270365090 + ... + 1270365150.

It is an arithmetic number, because the mean of its divisors is an integer number (304936398).

Almost surely, 2^77492272320 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 77492272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153687944592).

77492272320 is an abundant number, since it is smaller than the sum of its proper divisors (229883616864).

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

77492272320 is a wasteful number, since it uses less digits than its factorization.

77492272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 77492272320 in words is "seventy-seven billion, four hundred ninety-two million, two hundred seventy-two thousand, three hundred twenty".