77428440 has 64 divisors (see below), whose sum is σ = 258098400. Its totient is φ = 20647296.

The previous prime is 77428433. The next prime is 77428441. The reversal of 77428440 is 4482477.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77428395 and 77428404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77428441) 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, 34767 + ... + 36926.

Almost surely, 2^77428440 is an apocalyptic number.

It is an amenable number.

77428440 is an abundant number, since it is smaller than the sum of its proper divisors (180669960).

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

77428440 is a wasteful number, since it uses less digits than its factorization.

77428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71713 (or 71703 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 77428440 is about 8799.3431573044. The cubic root of 77428440 is about 426.2196843505.

The spelling of 77428440 in words is "seventy-seven million, four hundred twenty-eight thousand, four hundred forty".