78257411736 has 128 divisors (see below), whose sum is σ = 235746816000. Its totient is φ = 21147702912.

The previous prime is 78257411723. The next prime is 78257411753. The reversal of 78257411736 is 63711475287.

It is a super-2 number, since 2×78257411736² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1956045 + ... + 1995651.

It is an arithmetic number, because the mean of its divisors is an integer number (1841772000).

Almost surely, 2^78257411736 is an apocalyptic number.

78257411736 is a gapful number since it is divisible by the number (76) 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 78257411736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117873408000).

78257411736 is an abundant number, since it is smaller than the sum of its proper divisors (157489404264).

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

78257411736 is a wasteful number, since it uses less digits than its factorization.

78257411736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40261 (or 40257 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The spelling of 78257411736 in words is "seventy-eight billion, two hundred fifty-seven million, four hundred eleven thousand, seven hundred thirty-six".