77435781120 has 360 divisors, whose sum is σ = 270876662784. Its totient is φ = 20462174208.

The previous prime is 77435781097. The next prime is 77435781131. The reversal of 77435781120 is 2118753477.

77435781120 is a `hidden beast` number, since 7 + 7 + 43 + 578 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 23 ways as a sum of consecutive naturals, for example, 93634147 + ... + 93634973.

Almost surely, 2^77435781120 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 77435781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135438331392).

77435781120 is an abundant number, since it is smaller than the sum of its proper divisors (193440881664).

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

77435781120 is a wasteful number, since it uses less digits than its factorization.

77435781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 964 counting only the distinct ones).

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

The spelling of 77435781120 in words is "seventy-seven billion, four hundred thirty-five million, seven hundred eighty-one thousand, one hundred twenty".