77013948 has 48 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 23208960.

The previous prime is 77013941. The next prime is 77013953. The reversal of 77013948 is 84931077.

It is a super-2 number, since 2×77013948² = 11862296373093408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77013941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23965 + ... + 26987.

It is an arithmetic number, because the mean of its divisors is an integer number (4106592).

Almost surely, 2^77013948 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 77013948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

77013948 is an abundant number, since it is smaller than the sum of its proper divisors (120102468).

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

77013948 is a wasteful number, since it uses less digits than its factorization.

77013948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 77013948 is about 8775.7591124643. The cubic root of 77013948 is about 425.4577729551.

The spelling of 77013948 in words is "seventy-seven million, thirteen thousand, nine hundred forty-eight".