77721573150 has 288 divisors, whose sum is σ = 229544183232. Its totient is φ = 18737049600.

The previous prime is 77721573101. The next prime is 77721573179. The reversal of 77721573150 is 5137512777.

77721573150 is a `hidden beast` number, since 7 + 7 + 7 + 21 + 573 + 1 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 77721573096 and 77721573105.

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, 154515799 + ... + 154516301.

It is an arithmetic number, because the mean of its divisors is an integer number (797028414).

Almost surely, 2^77721573150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77721573150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114772091616).

77721573150 is an abundant number, since it is smaller than the sum of its proper divisors (151822610082).

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

77721573150 is a wasteful number, since it uses less digits than its factorization.

77721573150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 360150, while the sum is 45.

The spelling of 77721573150 in words is "seventy-seven billion, seven hundred twenty-one million, five hundred seventy-three thousand, one hundred fifty".