78209402880 has 384 divisors, whose sum is σ = 287021629440. Its totient is φ = 17809735680.

The previous prime is 78209402863. The next prime is 78209402941. The reversal of 78209402880 is 8820490287.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78209402880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 78919185 + ... + 78920175.

It is an arithmetic number, because the mean of its divisors is an integer number (747452160).

Almost surely, 2^78209402880 is an apocalyptic number.

78209402880 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 78209402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143510814720).

78209402880 is an abundant number, since it is smaller than the sum of its proper divisors (208812226560).

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

78209402880 is a wasteful number, since it uses less digits than its factorization.

78209402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 78209402880 in words is "seventy-eight billion, two hundred nine million, four hundred two thousand, eight hundred eighty".