77870145600 has 504 divisors, whose sum is σ = 315604565640. Its totient is φ = 18039767040.

The previous prime is 77870145589. The next prime is 77870145649. The reversal of 77870145600 is 654107877.

77870145600 is a `hidden beast` number, since 7 + 7 + 8 + 70 + 14 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 38456778816 + 39413366784 = 196104^2 + 198528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3170166 + ... + 3194634.

It is an arithmetic number, because the mean of its divisors is an integer number (626199535).

Almost surely, 2^77870145600 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 77870145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157802282820).

77870145600 is an abundant number, since it is smaller than the sum of its proper divisors (237734420040).

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

77870145600 is a wasteful number, since it uses less digits than its factorization.

77870145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24527 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 77870145600 in words is "seventy-seven billion, eight hundred seventy million, one hundred forty-five thousand, six hundred".