76801785016320 has 4992 divisors, whose sum is σ = 360534175303680. Its totient is φ = 15357035151360.

The previous prime is 76801785016303. The next prime is 76801785016337. The reversal of 76801785016320 is 2361058710867.

It is a happy number.

76801785016320 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 1 + 78 + 501 + 63 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76801785016303) and next prime (76801785016337).

It is a tau number, because it is divible by the number of its divisors (4992).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 925322710999 + ... + 925322711081.

Almost surely, 2^{76801785016320} is an apocalyptic number.

76801785016320 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 76801785016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180267087651840).

76801785016320 is an abundant number, since it is smaller than the sum of its proper divisors (283732390287360).

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

76801785016320 is a wasteful number, since it uses less digits than its factorization.

76801785016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 76801785016320 in words is "seventy-six trillion, eight hundred one billion, seven hundred eighty-five million, sixteen thousand, three hundred twenty".