78177137040 has 800 divisors, whose sum is σ = 310345136640. Its totient is φ = 18114969600.

The previous prime is 78177137029. The next prime is 78177137083. The reversal of 78177137040 is 4073177187.

78177137040 is a `hidden beast` number, since 78 + 177 + 1 + 370 + 40 = 666.

It is a super-3 number, since 3×78177137040³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 159 ways as a sum of consecutive naturals, for example, 85814185 + ... + 85815095.

Almost surely, 2^78177137040 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 78177137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155172568320).

78177137040 is an abundant number, since it is smaller than the sum of its proper divisors (232167999600).

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

78177137040 is a wasteful number, since it uses less digits than its factorization.

78177137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 78177137040 in words is "seventy-eight billion, one hundred seventy-seven million, one hundred thirty-seven thousand, forty".