77483952 has 280 divisors, whose sum is σ = 280822304. Its totient is φ = 20155392.

The previous prime is 77483947. The next prime is 77483963. The reversal of 77483952 is 25938477.

Its product of digits (423360) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 77483898 and 77483907.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1061388 + ... + 1061460.

Almost surely, 2^77483952 is an apocalyptic number.

77483952 is a gapful number since it is divisible by the number (72) 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 77483952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140411152).

77483952 is an abundant number, since it is smaller than the sum of its proper divisors (203338352).

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

77483952 is a wasteful number, since it uses less digits than its factorization.

77483952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 77483952 is about 8802.4969184885. The cubic root of 77483952 is about 426.3215188314.

The spelling of 77483952 in words is "seventy-seven million, four hundred eighty-three thousand, nine hundred fifty-two".