77950464 has 80 divisors (see below), whose sum is σ = 218676480. Its totient is φ = 24606720.

The previous prime is 77950429. The next prime is 77950469. The reversal of 77950464 is 46405977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77950469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27849 + ... + 30519.

It is an arithmetic number, because the mean of its divisors is an integer number (2733456).

Almost surely, 2^77950464 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 77950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109338240).

77950464 is an abundant number, since it is smaller than the sum of its proper divisors (140726016).

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

77950464 is a wasteful number, since it uses less digits than its factorization.

77950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 77950464 is about 8828.9559971720. The cubic root of 77950464 is about 427.1754001181.

The spelling of 77950464 in words is "seventy-seven million, nine hundred fifty thousand, four hundred sixty-four".