77948520 has 128 divisors (see below), whose sum is σ = 260668800. Its totient is φ = 18514944.

The previous prime is 77948509. The next prime is 77948567. The reversal of 77948520 is 2584977.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44379 + ... + 46101.

It is an arithmetic number, because the mean of its divisors is an integer number (2036475).

Almost surely, 2^77948520 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 77948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130334400).

77948520 is an abundant number, since it is smaller than the sum of its proper divisors (182720280).

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

77948520 is a wasteful number, since it uses less digits than its factorization.

77948520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 77948520 is about 8828.8459041938. The cubic root of 77948520 is about 427.1718489915.

The spelling of 77948520 in words is "seventy-seven million, nine hundred forty-eight thousand, five hundred twenty".