78293355840 has 672 divisors, whose sum is σ = 337980674304. Its totient is φ = 16840949760.

The previous prime is 78293355799. The next prime is 78293355853. The reversal of 78293355840 is 4855339287.

78293355840 is a `hidden beast` number, since 7 + 8 + 29 + 3 + 35 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×78293355840² (a number of 23 digits) contains 22 as substring.

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

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, 9249210 + ... + 9257670.

It is an arithmetic number, because the mean of its divisors is an integer number (502947432).

Almost surely, 2^78293355840 is an apocalyptic number.

78293355840 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 78293355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168990337152).

78293355840 is an abundant number, since it is smaller than the sum of its proper divisors (259687318464).

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

78293355840 is a wasteful number, since it uses less digits than its factorization.

78293355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 78293355840 in words is "seventy-eight billion, two hundred ninety-three million, three hundred fifty-five thousand, eight hundred forty".