78834954240 has 1248 divisors, whose sum is σ = 338891943936. Its totient is φ = 17199267840.

The previous prime is 78834954193. The next prime is 78834954241. The reversal of 78834954240 is 4245943887.

78834954240 is a `hidden beast` number, since 7 + 8 + 8 + 349 + 54 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78834954241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079930844 + ... + 1079930916.

It is an arithmetic number, because the mean of its divisors is an integer number (271548032).

Almost surely, 2^78834954240 is an apocalyptic number.

78834954240 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 78834954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169445971968).

78834954240 is an abundant number, since it is smaller than the sum of its proper divisors (260056989696).

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

78834954240 is an equidigital number, since it uses as much as digits as its factorization.

78834954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 78834954240 in words is "seventy-eight billion, eight hundred thirty-four million, nine hundred fifty-four thousand, two hundred forty".