77404819685040 has 800 divisors, whose sum is σ = 284170017669120. Its totient is φ = 19473391761408.

The previous prime is 77404819685027. The next prime is 77404819685071. The reversal of 77404819685040 is 4058691840477.

77404819685040 is a `hidden beast` number, since 7 + 7 + 4 + 0 + 481 + 9 + 68 + 50 + 40 = 666.

It is a super-2 number, since 2×77404819685040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58330684857 + ... + 58330686183.

Almost surely, 2^{77404819685040} 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 77404819685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142085008834560).

77404819685040 is an abundant number, since it is smaller than the sum of its proper divisors (206765197984080).

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

77404819685040 is a wasteful number, since it uses less digits than its factorization.

77404819685040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 77404819685040 in words is "seventy-seven trillion, four hundred four billion, eight hundred nineteen million, six hundred eighty-five thousand, forty".