77515140 has 48 divisors (see below), whose sum is σ = 220610880. Its totient is φ = 20330880.

The previous prime is 77515099. The next prime is 77515147. The reversal of 77515140 is 4151577.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77515098 and 77515107.

It is not an unprimeable number, because it can be changed into a prime (77515147) 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, 6930 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (4596060).

Almost surely, 2^77515140 is an apocalyptic number.

It is an amenable number.

77515140 is an abundant number, since it is smaller than the sum of its proper divisors (143095740).

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

77515140 is a wasteful number, since it uses less digits than its factorization.

77515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21252 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 77515140 is about 8804.2682830545. The cubic root of 77515140 is about 426.3787105967.

The spelling of 77515140 in words is "seventy-seven million, five hundred fifteen thousand, one hundred forty".