78501764406420 has 144 divisors (see below), whose sum is σ = 238799106000000. Its totient is φ = 20874302297856.

The previous prime is 78501764406419. The next prime is 78501764406469. The reversal of 78501764406420 is 2460446710587.

78501764406420 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 176 + 4 + 40 + 6 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340916686 + ... + 341146874.

It is an arithmetic number, because the mean of its divisors is an integer number (1658327125000).

Almost surely, 2^{78501764406420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78501764406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119399553000000).

78501764406420 is an abundant number, since it is smaller than the sum of its proper divisors (160297341593580).

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

78501764406420 is a wasteful number, since it uses less digits than its factorization.

78501764406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235582 (or 235577 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 78501764406420 in words is "seventy-eight trillion, five hundred one billion, seven hundred sixty-four million, four hundred six thousand, four hundred twenty".