77461950 has 48 divisors (see below), whose sum is σ = 194045616. Its totient is φ = 20448000.

The previous prime is 77461927. The next prime is 77461973. The reversal of 77461950 is 5916477.

It is an interprime number because it is at equal distance from previous prime (77461927) and next prime (77461973).

It is a junction number, because it is equal to n+sod(n) for n = 77461899 and 77461908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12594 + ... + 17706.

It is an arithmetic number, because the mean of its divisors is an integer number (4042617).

Almost surely, 2^77461950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77461950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97022808).

77461950 is an abundant number, since it is smaller than the sum of its proper divisors (116583666).

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

77461950 is a wasteful number, since it uses less digits than its factorization.

77461950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 77461950 is about 8801.2470707281. The cubic root of 77461950 is about 426.2811628876.

The spelling of 77461950 in words is "seventy-seven million, four hundred sixty-one thousand, nine hundred fifty".