77150640 has 160 divisors (see below), whose sum is σ = 287838720. Its totient is φ = 16699392.

The previous prime is 77150609. The next prime is 77150651. The reversal of 77150640 is 4605177.

It is a happy number.

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 = 77150598 and 77150607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30712 + ... + 33128.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^77150640 is an apocalyptic number.

77150640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

77150640 is an abundant number, since it is smaller than the sum of its proper divisors (210688080).

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

77150640 is a wasteful number, since it uses less digits than its factorization.

77150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 77150640 is about 8783.5437039956. The cubic root of 77150640 is about 425.7093390757.

The spelling of 77150640 in words is "seventy-seven million, one hundred fifty thousand, six hundred forty".