77963040 has 96 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 20788992.

The previous prime is 77963029. The next prime is 77963057. The reversal of 77963040 is 4036977.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 77962986 and 77963004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^77963040 is an apocalyptic number.

It is an amenable number.

77963040 is an abundant number, since it is smaller than the sum of its proper divisors (194922720).

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

77963040 is a wasteful number, since it uses less digits than its factorization.

77963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18071 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77963040 is about 8829.6681704354. The cubic root of 77963040 is about 427.1983714115.

The spelling of 77963040 in words is "seventy-seven million, nine hundred sixty-three thousand, forty".