78711491040 has 576 divisors, whose sum is σ = 313207824384. Its totient is φ = 16468365312.

The previous prime is 78711491009. The next prime is 78711491057. The reversal of 78711491040 is 4019411787.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 78711490983 and 78711491001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38830507 + ... + 38832533.

It is an arithmetic number, because the mean of its divisors is an integer number (543763584).

Almost surely, 2^78711491040 is an apocalyptic number.

78711491040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78711491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156603912192).

78711491040 is an abundant number, since it is smaller than the sum of its proper divisors (234496333344).

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

78711491040 is a wasteful number, since it uses less digits than its factorization.

78711491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 78711491040 in words is "seventy-eight billion, seven hundred eleven million, four hundred ninety-one thousand, forty".