77806735650 has 768 divisors, whose sum is σ = 273582489600. Its totient is φ = 15851531520.

The previous prime is 77806735637. The next prime is 77806735661. The reversal of 77806735650 is 5653760877.

77806735650 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 6 + 73 + 565 + 0 = 666.

It is a super-2 number, since 2×77806735650² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 342760837 + ... + 342761063.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^77806735650 is an apocalyptic number.

77806735650 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77806735650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136791244800).

77806735650 is an abundant number, since it is smaller than the sum of its proper divisors (195775753950).

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

77806735650 is a wasteful number, since it uses less digits than its factorization.

77806735650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 77806735650 in words is "seventy-seven billion, eight hundred six million, seven hundred thirty-five thousand, six hundred fifty".