78284351040 has 224 divisors, whose sum is σ = 284748549120. Its totient is φ = 17850218496.

The previous prime is 78284351039. The next prime is 78284351111. The reversal of 78284351040 is 4015348287.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×78284351040² (a number of 23 digits) contains 22 as substring.

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 = 78284350983 and 78284351001.

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, 2801779 + ... + 2829581.

It is an arithmetic number, because the mean of its divisors is an integer number (1271198880).

Almost surely, 2^78284351040 is an apocalyptic number.

78284351040 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 78284351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142374274560).

78284351040 is an abundant number, since it is smaller than the sum of its proper divisors (206464198080).

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

78284351040 is a wasteful number, since it uses less digits than its factorization.

78284351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28249 (or 28239 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 78284351040 in words is "seventy-eight billion, two hundred eighty-four million, three hundred fifty-one thousand, forty".